How to Find GCF of 702/654, 6139/702?

GCF of 702/654, 6139/702

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 702/654, 6139/702 i.e 1/76518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 702/654, 6139/702.

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 702/654,6139/702?

Given fractions are 702/654,6139/702

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 702/654,6139/702, numerators are 702,6139

Denominators are 654,702

The GCF of 702,6139 is 1 .

LCM of 654,702 is 76518.

The greatest common factor of 702/654,6139/702 = [GCF of 702,6139]/[LCM of 654,702]= 1/76518

Therefore, the GCF of 702/654,6139/702 is 1/76518.

Greatest Common Factor of 702,6139

To find the highest common factor of 702,6139, we have to find the factors of both numbers and list the highest common factor.

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

The factors of 6139 are 1, 7, 877, 6139

The HCF of 702,6139 is 1.

Lets's calculate GCF of 702,6139

Greatest Common Factor (GCF) of 702,6139 By Common Division

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

Greatest Common Factor of 702,6139 By Matching Biggest Common Factor Method

Now, list down the factors of 702

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Now, list down the factors of 6139

1,7,877,6139

Greatest Common Factor

We found the factors 702,6139 . The biggest common factor number is the GCF number.
So the greatest common factor 702,6139 is 1.

Lets's calculate LCM of 654,702

Lowest Common Multiple of 654,702 using Common Division

2	654, 702
3	327, 351
	109, 117

∴ So the LCM of the given numbers is 2 x 3 x 109 x 117 = 76518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76518

Therefore, the GCF of Fractions 702/654,6139/702 is 1/76518

Least Common Multiple of 654,702 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 654,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,702) = 6

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

GCF(654,702) x common factors =6 x 1 = 6

LCM(654,702) = ( 654 × 702 ) / 6

LCM(654,702) = 459108 / 6

LCM(654,702) = 76518

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FAQs on GCF of Fractions of 702/654, 6139/702

1. What is the HCF of 702,6139?

The HCF of 702,6139 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 702/654, 6139/702?

Answer: GCF of Numerators as per given numbers 702/654, 6139/702 is

GCF of Numerators i.e. for 702,6139 is 1

LCM of denominators i.e. for 654,702 is 76518.

Thus, GCF of Fractions is 1/76518.Finally, GCF of Fractions for 702/654, 6139/702 is 1/76518.