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GCF of 455/948, 751/336

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 455/948, 751/336 i.e 1/26544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/948, 751/336.

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 455/948,751/336?

Given fractions are 455/948,751/336

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 455/948,751/336, numerators are 455,751

Denominators are 948,336

The GCF of 455,751 is 1 .

LCM of 948,336 is 26544.

The greatest common factor of 455/948,751/336 = [GCF of 455,751]/[LCM of 948,336]= 1/26544

Therefore, the GCF of 455/948,751/336 is 1/26544.

Greatest Common Factor of 455,751

To find the highest common factor of 455,751, we have to find the factors of both numbers and list the highest common factor.

The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455

The factors of 751 are 1, 751

The HCF of 455,751 is 1.

Lets's calculate GCF of 455,751

Greatest Common Factor (GCF) of 455,751 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 455,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,751 By Matching Biggest Common Factor Method

Now, list down the factors of 455

:

1,5,7,13,35,65,91,455

Now, list down the factors of 751

:

1,751

Greatest Common Factor

We found the factors 455,751 . The biggest common factor number is the GCF number.
So the greatest common factor 455,751 is 1.

Lets's calculate LCM of 948,336

Lowest Common Multiple of 948,336 using Common Division

2 948, 336
2 474, 168
3 237, 84
79, 28

∴ So the LCM of the given numbers is 2 x 2 x 3 x 79 x 28 = 26544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26544

Therefore, the GCF of Fractions 455/948,751/336 is 1/26544

Least Common Multiple of 948,336 with GCF Formula

Least Common Multiple of 948,336 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 948,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,336) = 12

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

GCF(948,336) x common factors =12 x 1 = 12

LCM(948,336) = ( 948 × 336 ) / 12

LCM(948,336) = 318528 / 12

LCM(948,336) = 26544


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FAQs on GCF of Fractions of 455/948, 751/336

1. What is the HCF of 455,751?

The HCF of 455,751 is 1

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 455/948, 751/336?

Answer: GCF of Numerators as per given numbers 455/948, 751/336 is

GCF of Numerators i.e. for 455,751 is 1

LCM of denominators i.e. for 948,336 is 26544.

Thus, GCF of Fractions is 1/26544.Finally, GCF of Fractions for 455/948, 751/336 is 1/26544.