How to Find GCF of 8542/860, 9109/8736?

GCF of 8542/860, 9109/8736

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 8542/860, 9109/8736 i.e 1/1878240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8542/860, 9109/8736.

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 8542/860,9109/8736?

Given fractions are 8542/860,9109/8736

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 8542/860,9109/8736, numerators are 8542,9109

Denominators are 860,8736

The GCF of 8542,9109 is 1 .

LCM of 860,8736 is 1878240.

The greatest common factor of 8542/860,9109/8736 = [GCF of 8542,9109]/[LCM of 860,8736]= 1/1878240

Therefore, the GCF of 8542/860,9109/8736 is 1/1878240.

Greatest Common Factor of 8542,9109

To find the highest common factor of 8542,9109, we have to find the factors of both numbers and list the highest common factor.

The factors of 8542 are 1, 2, 4271, 8542

The factors of 9109 are 1, 9109

The HCF of 8542,9109 is 1.

Lets's calculate GCF of 8542,9109

Greatest Common Factor (GCF) of 8542,9109 By Common Division

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

Greatest Common Factor of 8542,9109 By Matching Biggest Common Factor Method

Now, list down the factors of 8542

1,2,4271,8542

Now, list down the factors of 9109

1,9109

Greatest Common Factor

We found the factors 8542,9109 . The biggest common factor number is the GCF number.
So the greatest common factor 8542,9109 is 1.

Lets's calculate LCM of 860,8736

Lowest Common Multiple of 860,8736 using Common Division

2	860, 8736
2	430, 4368
	215, 2184

∴ So the LCM of the given numbers is 2 x 2 x 215 x 2184 = 1878240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1878240

Therefore, the GCF of Fractions 8542/860,9109/8736 is 1/1878240

Least Common Multiple of 860,8736 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 860,8736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,8736) = 4

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

GCF(860,8736) x common factors =4 x 1 = 4

LCM(860,8736) = ( 860 × 8736 ) / 4

LCM(860,8736) = 7512960 / 4

LCM(860,8736) = 1878240

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FAQs on GCF of Fractions of 8542/860, 9109/8736

1. What is the HCF of 8542,9109?

The HCF of 8542,9109 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 8542/860, 9109/8736?

Answer: GCF of Numerators as per given numbers 8542/860, 9109/8736 is

GCF of Numerators i.e. for 8542,9109 is 1

LCM of denominators i.e. for 860,8736 is 1878240.

Thus, GCF of Fractions is 1/1878240.Finally, GCF of Fractions for 8542/860, 9109/8736 is 1/1878240.