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GCF of 392/56, 292/834

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 392/56, 292/834 i.e 4/23352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 392/56, 292/834.

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 392/56,292/834?

Given fractions are 392/56,292/834

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 392/56,292/834, numerators are 392,292

Denominators are 56,834

The GCF of 392,292 is 4 .

LCM of 56,834 is 23352.

The greatest common factor of 392/56,292/834 = [GCF of 392,292]/[LCM of 56,834]= 4/23352

Therefore, the GCF of 392/56,292/834 is 4/23352.

Greatest Common Factor of 392,292

To find the highest common factor of 392,292, we have to find the factors of both numbers and list the highest common factor.

The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

The factors of 292 are 1, 2, 4, 73, 146, 292

The HCF of 392,292 is 4.

Lets's calculate GCF of 392,292

Greatest Common Factor (GCF) of 392,292 By Common Division

2 392, 292
2 196, 146
98, 73

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 392,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,292 By Matching Biggest Common Factor Method

Now, list down the factors of 392

:

1,2,4,7,8,14,28,49,56,98,196,392

Now, list down the factors of 292

:

1,2,4,73,146,292

Greatest Common Factor

We found the factors 392,292 . The biggest common factor number is the GCF number.
So the greatest common factor 392,292 is 4.


Lets's calculate LCM of 56,834

Lowest Common Multiple of 56,834 using Common Division

2 56, 834
28, 417

∴ So the LCM of the given numbers is 2 x 28 x 417 = 23352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23352

Therefore, the GCF of Fractions 392/56,292/834 is 4/23352

Least Common Multiple of 56,834 with GCF Formula

Least Common Multiple of 56,834 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 56,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,834) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(56,834) x common factors =2 x 1 = 2

LCM(56,834) = ( 56 × 834 ) / 2

LCM(56,834) = 46704 / 2

LCM(56,834) = 23352


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 392/56, 292/834

1. What is the HCF of 392,292?

The HCF of 392,292 is 4

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 392/56, 292/834?

Answer: GCF of Numerators as per given numbers 392/56, 292/834 is

GCF of Numerators i.e. for 392,292 is 4

LCM of denominators i.e. for 56,834 is 23352.

Thus, GCF of Fractions is 4/23352.Finally, GCF of Fractions for 392/56, 292/834 is 4/23352.