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GCF of 887/77, 481/628

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 887/77, 481/628 i.e 1/48356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/77, 481/628.

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 887/77,481/628?

Given fractions are 887/77,481/628

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 887/77,481/628, numerators are 887,481

Denominators are 77,628

The GCF of 887,481 is 1 .

LCM of 77,628 is 48356.

The greatest common factor of 887/77,481/628 = [GCF of 887,481]/[LCM of 77,628]= 1/48356

Therefore, the GCF of 887/77,481/628 is 1/48356.

Greatest Common Factor of 887,481

To find the highest common factor of 887,481, we have to find the factors of both numbers and list the highest common factor.

The factors of 887 are 1, 887

The factors of 481 are 1, 13, 37, 481

The HCF of 887,481 is 1.

Lets's calculate GCF of 887,481

Greatest Common Factor (GCF) of 887,481 By Common Division

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

Greatest Common Factor of 887,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,481 By Matching Biggest Common Factor Method

Now, list down the factors of 887

:

1,887

Now, list down the factors of 481

:

1,13,37,481

Greatest Common Factor

We found the factors 887,481 . The biggest common factor number is the GCF number.
So the greatest common factor 887,481 is 1.

Lets's calculate LCM of 77,628

Lowest Common Multiple of 77,628 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 48356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48356

Therefore, the GCF of Fractions 887/77,481/628 is 1/48356

Least Common Multiple of 77,628 with GCF Formula

Least Common Multiple of 77,628 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 77,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,628) = 1

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

GCF(77,628) x common factors =1 x 1 = 1

LCM(77,628) = ( 77 × 628 ) / 1

LCM(77,628) = 48356 / 1

LCM(77,628) = 48356


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FAQs on GCF of Fractions of 887/77, 481/628

1. What is the HCF of 887,481?

The HCF of 887,481 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 887/77, 481/628?

Answer: GCF of Numerators as per given numbers 887/77, 481/628 is

GCF of Numerators i.e. for 887,481 is 1

LCM of denominators i.e. for 77,628 is 48356.

Thus, GCF of Fractions is 1/48356.Finally, GCF of Fractions for 887/77, 481/628 is 1/48356.