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GCF of 957/912, 562/336

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 957/912, 562/336 i.e 1/6384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 957/912, 562/336.

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 957/912,562/336?

Given fractions are 957/912,562/336

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 957/912,562/336, numerators are 957,562

Denominators are 912,336

The GCF of 957,562 is 1 .

LCM of 912,336 is 6384.

The greatest common factor of 957/912,562/336 = [GCF of 957,562]/[LCM of 912,336]= 1/6384

Therefore, the GCF of 957/912,562/336 is 1/6384.

Greatest Common Factor of 957,562

To find the highest common factor of 957,562, we have to find the factors of both numbers and list the highest common factor.

The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957

The factors of 562 are 1, 2, 281, 562

The HCF of 957,562 is 1.

Lets's calculate GCF of 957,562

Greatest Common Factor (GCF) of 957,562 By Common Division

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

Greatest Common Factor of 957,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,562 By Matching Biggest Common Factor Method

Now, list down the factors of 957

:

1,3,11,29,33,87,319,957

Now, list down the factors of 562

:

1,2,281,562

Greatest Common Factor

We found the factors 957,562 . The biggest common factor number is the GCF number.
So the greatest common factor 957,562 is 1.

Lets's calculate LCM of 912,336

Lowest Common Multiple of 912,336 using Common Division

2 912, 336
2 456, 168
2 228, 84
2 114, 42
3 57, 21
19, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 19 x 7 = 6384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6384

Therefore, the GCF of Fractions 957/912,562/336 is 1/6384

Least Common Multiple of 912,336 with GCF Formula

Least Common Multiple of 912,336 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 912,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(912,336) = 48

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

GCF(912,336) x common factors =48 x 1 = 48

LCM(912,336) = ( 912 × 336 ) / 48

LCM(912,336) = 306432 / 48

LCM(912,336) = 6384


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FAQs on GCF of Fractions of 957/912, 562/336

1. What is the HCF of 957,562?

The HCF of 957,562 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 957/912, 562/336?

Answer: GCF of Numerators as per given numbers 957/912, 562/336 is

GCF of Numerators i.e. for 957,562 is 1

LCM of denominators i.e. for 912,336 is 6384.

Thus, GCF of Fractions is 1/6384.Finally, GCF of Fractions for 957/912, 562/336 is 1/6384.