How to Find GCF of 6323/688, 1274/2108?

GCF of 6323/688, 1274/2108

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 6323/688, 1274/2108 i.e 1/362576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6323/688, 1274/2108.

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 6323/688,1274/2108?

Given fractions are 6323/688,1274/2108

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 6323/688,1274/2108, numerators are 6323,1274

Denominators are 688,2108

The GCF of 6323,1274 is 1 .

LCM of 688,2108 is 362576.

The greatest common factor of 6323/688,1274/2108 = [GCF of 6323,1274]/[LCM of 688,2108]= 1/362576

Therefore, the GCF of 6323/688,1274/2108 is 1/362576.

Greatest Common Factor of 6323,1274

To find the highest common factor of 6323,1274, we have to find the factors of both numbers and list the highest common factor.

The factors of 6323 are 1, 6323

The factors of 1274 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 637, 1274

The HCF of 6323,1274 is 1.

Lets's calculate GCF of 6323,1274

Greatest Common Factor (GCF) of 6323,1274 By Common Division

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

Greatest Common Factor of 6323,1274 By Matching Biggest Common Factor Method

Now, list down the factors of 6323

1,6323

Now, list down the factors of 1274

1,2,7,13,14,26,49,91,98,182,637,1274

Greatest Common Factor

We found the factors 6323,1274 . The biggest common factor number is the GCF number.
So the greatest common factor 6323,1274 is 1.

Lets's calculate LCM of 688,2108

Lowest Common Multiple of 688,2108 using Common Division

2	688, 2108
2	344, 1054
	172, 527

∴ So the LCM of the given numbers is 2 x 2 x 172 x 527 = 362576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362576

Therefore, the GCF of Fractions 6323/688,1274/2108 is 1/362576

Least Common Multiple of 688,2108 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 688,2108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,2108) = 4

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

GCF(688,2108) x common factors =4 x 1 = 4

LCM(688,2108) = ( 688 × 2108 ) / 4

LCM(688,2108) = 1450304 / 4

LCM(688,2108) = 362576

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FAQs on GCF of Fractions of 6323/688, 1274/2108

1. What is the HCF of 6323,1274?

The HCF of 6323,1274 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 6323/688, 1274/2108?

Answer: GCF of Numerators as per given numbers 6323/688, 1274/2108 is

GCF of Numerators i.e. for 6323,1274 is 1

LCM of denominators i.e. for 688,2108 is 362576.

Thus, GCF of Fractions is 1/362576.Finally, GCF of Fractions for 6323/688, 1274/2108 is 1/362576.