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GCF of 884/752, 587/376

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 884/752, 587/376 i.e 1/752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/752, 587/376.

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 884/752,587/376?

Given fractions are 884/752,587/376

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 884/752,587/376, numerators are 884,587

Denominators are 752,376

The GCF of 884,587 is 1 .

LCM of 752,376 is 752.

The greatest common factor of 884/752,587/376 = [GCF of 884,587]/[LCM of 752,376]= 1/752

Therefore, the GCF of 884/752,587/376 is 1/752.

Greatest Common Factor of 884,587

To find the highest common factor of 884,587, we have to find the factors of both numbers and list the highest common factor.

The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

The factors of 587 are 1, 587

The HCF of 884,587 is 1.

Lets's calculate GCF of 884,587

Greatest Common Factor (GCF) of 884,587 By Common Division

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

Greatest Common Factor of 884,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,587 By Matching Biggest Common Factor Method

Now, list down the factors of 884

:

1,2,4,13,17,26,34,52,68,221,442,884

Now, list down the factors of 587

:

1,587

Greatest Common Factor

We found the factors 884,587 . The biggest common factor number is the GCF number.
So the greatest common factor 884,587 is 1.

Lets's calculate LCM of 752,376

Lowest Common Multiple of 752,376 using Common Division

2 752, 376
2 376, 188
2 94, 188
47 47, 94
1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 1 x 2 = 752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/752

Therefore, the GCF of Fractions 884/752,587/376 is 1/752

Least Common Multiple of 752,376 with GCF Formula

Least Common Multiple of 752,376 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 752,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,376) = 376

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

GCF(752,376) x common factors =376 x 1 = 376

LCM(752,376) = ( 752 × 376 ) / 376

LCM(752,376) = 282752 / 376

LCM(752,376) = 752


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FAQs on GCF of Fractions of 884/752, 587/376

1. What is the HCF of 884,587?

The HCF of 884,587 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 884/752, 587/376?

Answer: GCF of Numerators as per given numbers 884/752, 587/376 is

GCF of Numerators i.e. for 884,587 is 1

LCM of denominators i.e. for 752,376 is 752.

Thus, GCF of Fractions is 1/752.Finally, GCF of Fractions for 884/752, 587/376 is 1/752.