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GCF of 56/64, 294/25, 352/428

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 56/64, 294/25, 352/428 i.e 2/171200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 56/64, 294/25, 352/428.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 56/64,294/25,352/428?

Given fractions are 56/64,294/25,352/428

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 56/64,294/25,352/428, numerators are 56,294,352

Denominators are 64,25,428

The GCF of 56,294,352 is 2 .

LCM of 64,25,428 is 171200.

The greatest common factor of 56/64,294/25,352/428 = [GCF of 56,294,352]/[LCM of 64,25,428]= 2/171200

Therefore, the GCF of 56/64,294/25,352/428 is 2/171200.

Greatest Common Factor of 56,294,352

To find the highest common factor of 56,294,352, we have to find the factors of both numbers and list the highest common factor.

The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The HCF of 56,294,352 is 2.

Lets's calculate GCF of 56,294,352

Greatest Common Factor (GCF) of 56,294,352 By Common Division

2 56, 294, 352
28, 147, 176

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 56,294,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,294,352 By Matching Biggest Common Factor Method

Now, list down the factors of 56

:

1,2,4,7,8,14,28,56

Now, list down the factors of 294

:

1,2,3,6,7,14,21,42,49,98,147,294

Now, list down the factors of 352

:

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 56,294,352 . The biggest common factor number is the GCF number.
So the greatest common factor 56,294,352 is 2.


Lets's calculate LCM of 64,25,428

Lowest Common Multiple of 64,25,428 using Common Division

2 64, 25, 428
2 32, 25, 214
16, 25, 107

∴ So the LCM of the given numbers is 2 x 2 x 16 x 25 x 107 = 171200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171200

Therefore, the GCF of Fractions 56/64,294/25,352/428 is 2/171200

Least Common Multiple of 64,25,428 with GCF Formula

Least Common Multiple of 64,25,428 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 64,25,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,25,428) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,25,428) x common factors =1 x 4 = 4

LCM(64,25,428) = ( 64 × 25 × 428 ) / 4

LCM(64,25,428) = 684800 / 4

LCM(64,25,428) = 171200


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 56/64, 294/25, 352/428

1. What is the HCF of 56,294,352?

The HCF of 56,294,352 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 56/64, 294/25, 352/428?

Answer: GCF of Numerators as per given numbers 56/64, 294/25, 352/428 is

GCF of Numerators i.e. for 56,294,352 is 2

LCM of denominators i.e. for 64,25,428 is 171200.

Thus, GCF of Fractions is 2/171200.Finally, GCF of Fractions for 56/64, 294/25, 352/428 is 2/171200.