How to Find GCF of 679/544, 6142/8624?

GCF of 679/544, 6142/8624

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 679/544, 6142/8624 i.e 1/293216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 679/544, 6142/8624.

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 679/544,6142/8624?

Given fractions are 679/544,6142/8624

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 679/544,6142/8624, numerators are 679,6142

Denominators are 544,8624

The GCF of 679,6142 is 1 .

LCM of 544,8624 is 293216.

The greatest common factor of 679/544,6142/8624 = [GCF of 679,6142]/[LCM of 544,8624]= 1/293216

Therefore, the GCF of 679/544,6142/8624 is 1/293216.

Greatest Common Factor of 679,6142

To find the highest common factor of 679,6142, we have to find the factors of both numbers and list the highest common factor.

The factors of 679 are 1, 7, 97, 679

The factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142

The HCF of 679,6142 is 1.

Lets's calculate GCF of 679,6142

Greatest Common Factor (GCF) of 679,6142 By Common Division

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

Greatest Common Factor of 679,6142 By Matching Biggest Common Factor Method

Now, list down the factors of 679

1,7,97,679

Now, list down the factors of 6142

1,2,37,74,83,166,3071,6142

Greatest Common Factor

We found the factors 679,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 679,6142 is 1.

Lets's calculate LCM of 544,8624

Lowest Common Multiple of 544,8624 using Common Division

2	544, 8624
2	272, 4312
2	136, 2156
2	68, 1078
	34, 539

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 34 x 539 = 293216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293216

Therefore, the GCF of Fractions 679/544,6142/8624 is 1/293216

Least Common Multiple of 544,8624 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 544,8624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,8624) = 16

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

GCF(544,8624) x common factors =16 x 1 = 16

LCM(544,8624) = ( 544 × 8624 ) / 16

LCM(544,8624) = 4691456 / 16

LCM(544,8624) = 293216

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FAQs on GCF of Fractions of 679/544, 6142/8624

1. What is the HCF of 679,6142?

The HCF of 679,6142 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 679/544, 6142/8624?

Answer: GCF of Numerators as per given numbers 679/544, 6142/8624 is

GCF of Numerators i.e. for 679,6142 is 1

LCM of denominators i.e. for 544,8624 is 293216.

Thus, GCF of Fractions is 1/293216.Finally, GCF of Fractions for 679/544, 6142/8624 is 1/293216.