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GCF of 887/45, 758/478

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 887/45, 758/478 i.e 1/21510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 887/45, 758/478.

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 887/45,758/478?

Given fractions are 887/45,758/478

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 887/45,758/478, numerators are 887,758

Denominators are 45,478

The GCF of 887,758 is 1 .

LCM of 45,478 is 21510.

The greatest common factor of 887/45,758/478 = [GCF of 887,758]/[LCM of 45,478]= 1/21510

Therefore, the GCF of 887/45,758/478 is 1/21510.

Greatest Common Factor of 887,758

To find the highest common factor of 887,758, 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 758 are 1, 2, 379, 758

The HCF of 887,758 is 1.

Lets's calculate GCF of 887,758

Greatest Common Factor (GCF) of 887,758 By Common Division

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

Greatest Common Factor of 887,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,758 By Matching Biggest Common Factor Method

Now, list down the factors of 887

:

1,887

Now, list down the factors of 758

:

1,2,379,758

Greatest Common Factor

We found the factors 887,758 . The biggest common factor number is the GCF number.
So the greatest common factor 887,758 is 1.

Lets's calculate LCM of 45,478

Lowest Common Multiple of 45,478 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 21510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21510

Therefore, the GCF of Fractions 887/45,758/478 is 1/21510

Least Common Multiple of 45,478 with GCF Formula

Least Common Multiple of 45,478 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 45,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,478) = 1

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

GCF(45,478) x common factors =1 x 1 = 1

LCM(45,478) = ( 45 × 478 ) / 1

LCM(45,478) = 21510 / 1

LCM(45,478) = 21510


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FAQs on GCF of Fractions of 887/45, 758/478

1. What is the HCF of 887,758?

The HCF of 887,758 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 887/45, 758/478?

Answer: GCF of Numerators as per given numbers 887/45, 758/478 is

GCF of Numerators i.e. for 887,758 is 1

LCM of denominators i.e. for 45,478 is 21510.

Thus, GCF of Fractions is 1/21510.Finally, GCF of Fractions for 887/45, 758/478 is 1/21510.