How to Find GCF of 532/561, 630/518?

GCF of 532/561, 630/518

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 532/561, 630/518 i.e 14/290598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/561, 630/518.

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 532/561,630/518?

Given fractions are 532/561,630/518

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 532/561,630/518, numerators are 532,630

Denominators are 561,518

The GCF of 532,630 is 14 .

LCM of 561,518 is 290598.

The greatest common factor of 532/561,630/518 = [GCF of 532,630]/[LCM of 561,518]= 14/290598

Therefore, the GCF of 532/561,630/518 is 14/290598.

Greatest Common Factor of 532,630

To find the highest common factor of 532,630, 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 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

The HCF of 532,630 is 14.

Lets's calculate GCF of 532,630

Greatest Common Factor (GCF) of 532,630 By Common Division

2	532, 630
7	266, 315
	38, 45

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 532,630 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 630

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 532,630 . The biggest common factor number is the GCF number.
So the greatest common factor 532,630 is 14.

Lets's calculate LCM of 561,518

Lowest Common Multiple of 561,518 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 290598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/290598

Therefore, the GCF of Fractions 532/561,630/518 is 14/290598

Least Common Multiple of 561,518 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 561,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,518) = 1

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

GCF(561,518) x common factors =1 x 1 = 1

LCM(561,518) = ( 561 × 518 ) / 1

LCM(561,518) = 290598 / 1

LCM(561,518) = 290598

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FAQs on GCF of Fractions of 532/561, 630/518

1. What is the HCF of 532,630?

The HCF of 532,630 is 14

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 532/561, 630/518?

Answer: GCF of Numerators as per given numbers 532/561, 630/518 is

GCF of Numerators i.e. for 532,630 is 14

LCM of denominators i.e. for 561,518 is 290598.

Thus, GCF of Fractions is 14/290598.Finally, GCF of Fractions for 532/561, 630/518 is 14/290598.