How to Find GCF of 8083/680, 5476/3140?

GCF of 8083/680, 5476/3140

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 8083/680, 5476/3140 i.e 1/106760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8083/680, 5476/3140.

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 8083/680,5476/3140?

Given fractions are 8083/680,5476/3140

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 8083/680,5476/3140, numerators are 8083,5476

Denominators are 680,3140

The GCF of 8083,5476 is 1 .

LCM of 680,3140 is 106760.

The greatest common factor of 8083/680,5476/3140 = [GCF of 8083,5476]/[LCM of 680,3140]= 1/106760

Therefore, the GCF of 8083/680,5476/3140 is 1/106760.

Greatest Common Factor of 8083,5476

To find the highest common factor of 8083,5476, we have to find the factors of both numbers and list the highest common factor.

The factors of 8083 are 1, 59, 137, 8083

The factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476

The HCF of 8083,5476 is 1.

Lets's calculate GCF of 8083,5476

Greatest Common Factor (GCF) of 8083,5476 By Common Division

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

Greatest Common Factor of 8083,5476 By Matching Biggest Common Factor Method

Now, list down the factors of 8083

1,59,137,8083

Now, list down the factors of 5476

1,2,4,37,74,148,1369,2738,5476

Greatest Common Factor

We found the factors 8083,5476 . The biggest common factor number is the GCF number.
So the greatest common factor 8083,5476 is 1.

Lets's calculate LCM of 680,3140

Lowest Common Multiple of 680,3140 using Common Division

2	680, 3140
2	340, 1570
5	170, 785
	34, 157

∴ So the LCM of the given numbers is 2 x 2 x 5 x 34 x 157 = 106760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106760

Therefore, the GCF of Fractions 8083/680,5476/3140 is 1/106760

Least Common Multiple of 680,3140 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 680,3140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,3140) = 20

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

GCF(680,3140) x common factors =20 x 1 = 20

LCM(680,3140) = ( 680 × 3140 ) / 20

LCM(680,3140) = 2135200 / 20

LCM(680,3140) = 106760

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FAQs on GCF of Fractions of 8083/680, 5476/3140

1. What is the HCF of 8083,5476?

The HCF of 8083,5476 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 8083/680, 5476/3140?

Answer: GCF of Numerators as per given numbers 8083/680, 5476/3140 is

GCF of Numerators i.e. for 8083,5476 is 1

LCM of denominators i.e. for 680,3140 is 106760.

Thus, GCF of Fractions is 1/106760.Finally, GCF of Fractions for 8083/680, 5476/3140 is 1/106760.