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GCF of 532/145, 1126/492

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 532/145, 1126/492 i.e 2/71340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/145, 1126/492.

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 532/145,1126/492?

Given fractions are 532/145,1126/492

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 532/145,1126/492, numerators are 532,1126

Denominators are 145,492

The GCF of 532,1126 is 2 .

LCM of 145,492 is 71340.

The greatest common factor of 532/145,1126/492 = [GCF of 532,1126]/[LCM of 145,492]= 2/71340

Therefore, the GCF of 532/145,1126/492 is 2/71340.

Greatest Common Factor of 532,1126

To find the highest common factor of 532,1126, we have to find the factors of both numbers and list the highest common factor.

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

The factors of 1126 are 1, 2, 563, 1126

The HCF of 532,1126 is 2.

Lets's calculate GCF of 532,1126

Greatest Common Factor (GCF) of 532,1126 By Common Division

2 532, 1126
266, 563

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

Greatest Common Factor of 532,1126 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,1126 By Matching Biggest Common Factor Method

Now, list down the factors of 532

:

1,2,4,7,14,19,28,38,76,133,266,532

Now, list down the factors of 1126

:

1,2,563,1126

Greatest Common Factor

We found the factors 532,1126 . The biggest common factor number is the GCF number.
So the greatest common factor 532,1126 is 2.

Lets's calculate LCM of 145,492

Lowest Common Multiple of 145,492 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 71340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71340

Therefore, the GCF of Fractions 532/145,1126/492 is 2/71340

Least Common Multiple of 145,492 with GCF Formula

Least Common Multiple of 145,492 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 145,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,492) = 1

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

GCF(145,492) x common factors =1 x 1 = 1

LCM(145,492) = ( 145 × 492 ) / 1

LCM(145,492) = 71340 / 1

LCM(145,492) = 71340


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FAQs on GCF of Fractions of 532/145, 1126/492

1. What is the HCF of 532,1126?

The HCF of 532,1126 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 532/145, 1126/492?

Answer: GCF of Numerators as per given numbers 532/145, 1126/492 is

GCF of Numerators i.e. for 532,1126 is 2

LCM of denominators i.e. for 145,492 is 71340.

Thus, GCF of Fractions is 2/71340.Finally, GCF of Fractions for 532/145, 1126/492 is 2/71340.