How to Find GCF of 884/748, 462/756?

GCF of 884/748, 462/756

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 884/748, 462/756 i.e 2/141372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/748, 462/756.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 884/748,462/756?

Given fractions are 884/748,462/756

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 884/748,462/756, numerators are 884,462

Denominators are 748,756

The GCF of 884,462 is 2 .

LCM of 748,756 is 141372.

The greatest common factor of 884/748,462/756 = [GCF of 884,462]/[LCM of 748,756]= 2/141372

Therefore, the GCF of 884/748,462/756 is 2/141372.

Greatest Common Factor of 884,462

To find the highest common factor of 884,462, 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 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

The HCF of 884,462 is 2.

Lets's calculate GCF of 884,462

Greatest Common Factor (GCF) of 884,462 By Common Division

2	884, 462
	442, 231

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 884,462 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 462

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 884,462 . The biggest common factor number is the GCF number.
So the greatest common factor 884,462 is 2.

Lets's calculate LCM of 748,756

Lowest Common Multiple of 748,756 using Common Division

2	748, 756
2	374, 378
	187, 189

∴ So the LCM of the given numbers is 2 x 2 x 187 x 189 = 141372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/141372

Therefore, the GCF of Fractions 884/748,462/756 is 2/141372

Least Common Multiple of 748,756 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 748,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,756) = 4

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

GCF(748,756) x common factors =4 x 1 = 4

LCM(748,756) = ( 748 × 756 ) / 4

LCM(748,756) = 565488 / 4

LCM(748,756) = 141372

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FAQs on GCF of Fractions of 884/748, 462/756

1. What is the HCF of 884,462?

The HCF of 884,462 is 2

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 884/748, 462/756?

Answer: GCF of Numerators as per given numbers 884/748, 462/756 is

GCF of Numerators i.e. for 884,462 is 2

LCM of denominators i.e. for 748,756 is 141372.

Thus, GCF of Fractions is 2/141372.Finally, GCF of Fractions for 884/748, 462/756 is 2/141372.