How to Find GCF of 452/867, 932/939?

GCF of 452/867, 932/939

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 452/867, 932/939 i.e 4/271371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 452/867, 932/939.

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 452/867,932/939?

Given fractions are 452/867,932/939

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 452/867,932/939, numerators are 452,932

Denominators are 867,939

The GCF of 452,932 is 4 .

LCM of 867,939 is 271371.

The greatest common factor of 452/867,932/939 = [GCF of 452,932]/[LCM of 867,939]= 4/271371

Therefore, the GCF of 452/867,932/939 is 4/271371.

Greatest Common Factor of 452,932

To find the highest common factor of 452,932, we have to find the factors of both numbers and list the highest common factor.

The factors of 452 are 1, 2, 4, 113, 226, 452

The factors of 932 are 1, 2, 4, 233, 466, 932

The HCF of 452,932 is 4.

Lets's calculate GCF of 452,932

Greatest Common Factor (GCF) of 452,932 By Common Division

2	452, 932
2	226, 466
	113, 233

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 452,932 By Matching Biggest Common Factor Method

Now, list down the factors of 452

1,2,4,113,226,452

Now, list down the factors of 932

1,2,4,233,466,932

Greatest Common Factor

We found the factors 452,932 . The biggest common factor number is the GCF number.
So the greatest common factor 452,932 is 4.

Lets's calculate LCM of 867,939

Lowest Common Multiple of 867,939 using Common Division

3	867, 939
	289, 313

∴ So the LCM of the given numbers is 3 x 289 x 313 = 271371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/271371

Therefore, the GCF of Fractions 452/867,932/939 is 4/271371

Least Common Multiple of 867,939 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 867,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,939) = 3

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

GCF(867,939) x common factors =3 x 1 = 3

LCM(867,939) = ( 867 × 939 ) / 3

LCM(867,939) = 814113 / 3

LCM(867,939) = 271371

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FAQs on GCF of Fractions of 452/867, 932/939

1. What is the HCF of 452,932?

The HCF of 452,932 is 4

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 452/867, 932/939?

Answer: GCF of Numerators as per given numbers 452/867, 932/939 is

GCF of Numerators i.e. for 452,932 is 4

LCM of denominators i.e. for 867,939 is 271371.

Thus, GCF of Fractions is 4/271371.Finally, GCF of Fractions for 452/867, 932/939 is 4/271371.