How to Find GCF of 7109/532, 4518/5852?

GCF of 7109/532, 4518/5852

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 7109/532, 4518/5852 i.e 1/5852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7109/532, 4518/5852.

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 7109/532,4518/5852?

Given fractions are 7109/532,4518/5852

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 7109/532,4518/5852, numerators are 7109,4518

Denominators are 532,5852

The GCF of 7109,4518 is 1 .

LCM of 532,5852 is 5852.

The greatest common factor of 7109/532,4518/5852 = [GCF of 7109,4518]/[LCM of 532,5852]= 1/5852

Therefore, the GCF of 7109/532,4518/5852 is 1/5852.

Greatest Common Factor of 7109,4518

To find the highest common factor of 7109,4518, we have to find the factors of both numbers and list the highest common factor.

The factors of 7109 are 1, 7109

The factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518

The HCF of 7109,4518 is 1.

Lets's calculate GCF of 7109,4518

Greatest Common Factor (GCF) of 7109,4518 By Common Division

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

Greatest Common Factor of 7109,4518 By Matching Biggest Common Factor Method

Now, list down the factors of 7109

1,7109

Now, list down the factors of 4518

1,2,3,6,9,18,251,502,753,1506,2259,4518

Greatest Common Factor

We found the factors 7109,4518 . The biggest common factor number is the GCF number.
So the greatest common factor 7109,4518 is 1.

Lets's calculate LCM of 532,5852

Lowest Common Multiple of 532,5852 using Common Division

2	532, 5852
2	266, 2926
7	133, 1463
19	19, 209
	1, 11

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 1 x 11 = 5852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5852

Therefore, the GCF of Fractions 7109/532,4518/5852 is 1/5852

Least Common Multiple of 532,5852 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 532,5852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,5852) = 532

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

GCF(532,5852) x common factors =532 x 1 = 532

LCM(532,5852) = ( 532 × 5852 ) / 532

LCM(532,5852) = 3113264 / 532

LCM(532,5852) = 5852

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FAQs on GCF of Fractions of 7109/532, 4518/5852

1. What is the HCF of 7109,4518?

The HCF of 7109,4518 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 7109/532, 4518/5852?

Answer: GCF of Numerators as per given numbers 7109/532, 4518/5852 is

GCF of Numerators i.e. for 7109,4518 is 1

LCM of denominators i.e. for 532,5852 is 5852.

Thus, GCF of Fractions is 1/5852.Finally, GCF of Fractions for 7109/532, 4518/5852 is 1/5852.