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GCF of 886/48, 695/528

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 886/48, 695/528 i.e 1/528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/48, 695/528.

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 886/48,695/528?

Given fractions are 886/48,695/528

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 886/48,695/528, numerators are 886,695

Denominators are 48,528

The GCF of 886,695 is 1 .

LCM of 48,528 is 528.

The greatest common factor of 886/48,695/528 = [GCF of 886,695]/[LCM of 48,528]= 1/528

Therefore, the GCF of 886/48,695/528 is 1/528.

Greatest Common Factor of 886,695

To find the highest common factor of 886,695, we have to find the factors of both numbers and list the highest common factor.

The factors of 886 are 1, 2, 443, 886

The factors of 695 are 1, 5, 139, 695

The HCF of 886,695 is 1.

Lets's calculate GCF of 886,695

Greatest Common Factor (GCF) of 886,695 By Common Division

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

Greatest Common Factor of 886,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,695 By Matching Biggest Common Factor Method

Now, list down the factors of 886

:

1,2,443,886

Now, list down the factors of 695

:

1,5,139,695

Greatest Common Factor

We found the factors 886,695 . The biggest common factor number is the GCF number.
So the greatest common factor 886,695 is 1.

Lets's calculate LCM of 48,528

Lowest Common Multiple of 48,528 using Common Division

2 48, 528
2 24, 264
2 12, 132
2 6, 66
3 3, 33
1, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 11 = 528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/528

Therefore, the GCF of Fractions 886/48,695/528 is 1/528

Least Common Multiple of 48,528 with GCF Formula

Least Common Multiple of 48,528 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 48,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,528) = 48

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

GCF(48,528) x common factors =48 x 1 = 48

LCM(48,528) = ( 48 × 528 ) / 48

LCM(48,528) = 25344 / 48

LCM(48,528) = 528


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FAQs on GCF of Fractions of 886/48, 695/528

1. What is the HCF of 886,695?

The HCF of 886,695 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 886/48, 695/528?

Answer: GCF of Numerators as per given numbers 886/48, 695/528 is

GCF of Numerators i.e. for 886,695 is 1

LCM of denominators i.e. for 48,528 is 528.

Thus, GCF of Fractions is 1/528.Finally, GCF of Fractions for 886/48, 695/528 is 1/528.