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GCF of 896/111, 916/179

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 896/111, 916/179 i.e 4/19869 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/111, 916/179.

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 896/111,916/179?

Given fractions are 896/111,916/179

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 896/111,916/179, numerators are 896,916

Denominators are 111,179

The GCF of 896,916 is 4 .

LCM of 111,179 is 19869.

The greatest common factor of 896/111,916/179 = [GCF of 896,916]/[LCM of 111,179]= 4/19869

Therefore, the GCF of 896/111,916/179 is 4/19869.

Greatest Common Factor of 896,916

To find the highest common factor of 896,916, we have to find the factors of both numbers and list the highest common factor.

The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

The factors of 916 are 1, 2, 4, 229, 458, 916

The HCF of 896,916 is 4.

Lets's calculate GCF of 896,916

Greatest Common Factor (GCF) of 896,916 By Common Division

2 896, 916
2 448, 458
224, 229

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

Greatest Common Factor of 896,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,916 By Matching Biggest Common Factor Method

Now, list down the factors of 896

:

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Now, list down the factors of 916

:

1,2,4,229,458,916

Greatest Common Factor

We found the factors 896,916 . The biggest common factor number is the GCF number.
So the greatest common factor 896,916 is 4.

Lets's calculate LCM of 111,179

Lowest Common Multiple of 111,179 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 19869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/19869

Therefore, the GCF of Fractions 896/111,916/179 is 4/19869

Least Common Multiple of 111,179 with GCF Formula

Least Common Multiple of 111,179 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 111,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,179) = 1

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

GCF(111,179) x common factors =1 x 1 = 1

LCM(111,179) = ( 111 × 179 ) / 1

LCM(111,179) = 19869 / 1

LCM(111,179) = 19869


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FAQs on GCF of Fractions of 896/111, 916/179

1. What is the HCF of 896,916?

The HCF of 896,916 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 896/111, 916/179?

Answer: GCF of Numerators as per given numbers 896/111, 916/179 is

GCF of Numerators i.e. for 896,916 is 4

LCM of denominators i.e. for 111,179 is 19869.

Thus, GCF of Fractions is 4/19869.Finally, GCF of Fractions for 896/111, 916/179 is 4/19869.