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GCF of 269/888, 772/108

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 269/888, 772/108 i.e 1/7992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 269/888, 772/108.

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 269/888,772/108?

Given fractions are 269/888,772/108

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 269/888,772/108, numerators are 269,772

Denominators are 888,108

The GCF of 269,772 is 1 .

LCM of 888,108 is 7992.

The greatest common factor of 269/888,772/108 = [GCF of 269,772]/[LCM of 888,108]= 1/7992

Therefore, the GCF of 269/888,772/108 is 1/7992.

Greatest Common Factor of 269,772

To find the highest common factor of 269,772, we have to find the factors of both numbers and list the highest common factor.

The factors of 269 are 1, 269

The factors of 772 are 1, 2, 4, 193, 386, 772

The HCF of 269,772 is 1.

Lets's calculate GCF of 269,772

Greatest Common Factor (GCF) of 269,772 By Common Division

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

Greatest Common Factor of 269,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,772 By Matching Biggest Common Factor Method

Now, list down the factors of 269

:

1,269

Now, list down the factors of 772

:

1,2,4,193,386,772

Greatest Common Factor

We found the factors 269,772 . The biggest common factor number is the GCF number.
So the greatest common factor 269,772 is 1.

Lets's calculate LCM of 888,108

Lowest Common Multiple of 888,108 using Common Division

2 888, 108
2 444, 54
3 222, 27
74, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 74 x 9 = 7992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7992

Therefore, the GCF of Fractions 269/888,772/108 is 1/7992

Least Common Multiple of 888,108 with GCF Formula

Least Common Multiple of 888,108 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 888,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,108) = 12

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

GCF(888,108) x common factors =12 x 1 = 12

LCM(888,108) = ( 888 × 108 ) / 12

LCM(888,108) = 95904 / 12

LCM(888,108) = 7992


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FAQs on GCF of Fractions of 269/888, 772/108

1. What is the HCF of 269,772?

The HCF of 269,772 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 269/888, 772/108?

Answer: GCF of Numerators as per given numbers 269/888, 772/108 is

GCF of Numerators i.e. for 269,772 is 1

LCM of denominators i.e. for 888,108 is 7992.

Thus, GCF of Fractions is 1/7992.Finally, GCF of Fractions for 269/888, 772/108 is 1/7992.