How to Find GCF of 7102/198, 8581/9680?

GCF of 7102/198, 8581/9680

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 7102/198, 8581/9680 i.e 1/87120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7102/198, 8581/9680.

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 7102/198,8581/9680?

Given fractions are 7102/198,8581/9680

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 7102/198,8581/9680, numerators are 7102,8581

Denominators are 198,9680

The GCF of 7102,8581 is 1 .

LCM of 198,9680 is 87120.

The greatest common factor of 7102/198,8581/9680 = [GCF of 7102,8581]/[LCM of 198,9680]= 1/87120

Therefore, the GCF of 7102/198,8581/9680 is 1/87120.

Greatest Common Factor of 7102,8581

To find the highest common factor of 7102,8581, we have to find the factors of both numbers and list the highest common factor.

The factors of 7102 are 1, 2, 53, 67, 106, 134, 3551, 7102

The factors of 8581 are 1, 8581

The HCF of 7102,8581 is 1.

Lets's calculate GCF of 7102,8581

Greatest Common Factor (GCF) of 7102,8581 By Common Division

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

Greatest Common Factor of 7102,8581 By Matching Biggest Common Factor Method

Now, list down the factors of 7102

1,2,53,67,106,134,3551,7102

Now, list down the factors of 8581

1,8581

Greatest Common Factor

We found the factors 7102,8581 . The biggest common factor number is the GCF number.
So the greatest common factor 7102,8581 is 1.

Lets's calculate LCM of 198,9680

Lowest Common Multiple of 198,9680 using Common Division

2	198, 9680
11	99, 4840
	9, 440

∴ So the LCM of the given numbers is 2 x 11 x 9 x 440 = 87120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87120

Therefore, the GCF of Fractions 7102/198,8581/9680 is 1/87120

Least Common Multiple of 198,9680 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 198,9680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,9680) = 22

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

GCF(198,9680) x common factors =22 x 1 = 22

LCM(198,9680) = ( 198 × 9680 ) / 22

LCM(198,9680) = 1916640 / 22

LCM(198,9680) = 87120

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FAQs on GCF of Fractions of 7102/198, 8581/9680

1. What is the HCF of 7102,8581?

The HCF of 7102,8581 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 7102/198, 8581/9680?

Answer: GCF of Numerators as per given numbers 7102/198, 8581/9680 is

GCF of Numerators i.e. for 7102,8581 is 1

LCM of denominators i.e. for 198,9680 is 87120.

Thus, GCF of Fractions is 1/87120.Finally, GCF of Fractions for 7102/198, 8581/9680 is 1/87120.