How to Find GCF of 911/696, 5016/232?

GCF of 911/696, 5016/232

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 911/696, 5016/232 i.e 1/696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/696, 5016/232.

Enter two or more fractions separated by "commas"

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

What is the GCF of 911/696,5016/232?

Given fractions are 911/696,5016/232

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 911/696,5016/232, numerators are 911,5016

Denominators are 696,232

The GCF of 911,5016 is 1 .

LCM of 696,232 is 696.

The greatest common factor of 911/696,5016/232 = [GCF of 911,5016]/[LCM of 696,232]= 1/696

Therefore, the GCF of 911/696,5016/232 is 1/696.

Greatest Common Factor of 911,5016

To find the highest common factor of 911,5016, we have to find the factors of both numbers and list the highest common factor.

The factors of 911 are 1, 911

The factors of 5016 are 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016

The HCF of 911,5016 is 1.

Lets's calculate GCF of 911,5016

Greatest Common Factor (GCF) of 911,5016 By Common Division

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

Greatest Common Factor of 911,5016 By Matching Biggest Common Factor Method

Now, list down the factors of 911

1,911

Now, list down the factors of 5016

1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016

Greatest Common Factor

We found the factors 911,5016 . The biggest common factor number is the GCF number.
So the greatest common factor 911,5016 is 1.

Lets's calculate LCM of 696,232

Lowest Common Multiple of 696,232 using Common Division

2	696, 232
2	348, 116
2	174, 58
29	87, 29
	3, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 3 x 1 = 696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/696

Therefore, the GCF of Fractions 911/696,5016/232 is 1/696

Least Common Multiple of 696,232 with GCF Formula

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

We need to calculate greatest common factor of 696,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,232) = 232

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

GCF(696,232) x common factors =232 x 1 = 232

LCM(696,232) = ( 696 × 232 ) / 232

LCM(696,232) = 161472 / 232

LCM(696,232) = 696

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FAQs on GCF of Fractions of 911/696, 5016/232

1. What is the HCF of 911,5016?

The HCF of 911,5016 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 911/696, 5016/232?

Answer: GCF of Numerators as per given numbers 911/696, 5016/232 is

GCF of Numerators i.e. for 911,5016 is 1

LCM of denominators i.e. for 696,232 is 696.

Thus, GCF of Fractions is 1/696.Finally, GCF of Fractions for 911/696, 5016/232 is 1/696.