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GCF of 1401/980, 1688/674

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 1401/980, 1688/674 i.e 1/330260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1401/980, 1688/674.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1401/980,1688/674?

Given fractions are 1401/980,1688/674

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 1401/980,1688/674, numerators are 1401,1688

Denominators are 980,674

The GCF of 1401,1688 is 1 .

LCM of 980,674 is 330260.

The greatest common factor of 1401/980,1688/674 = [GCF of 1401,1688]/[LCM of 980,674]= 1/330260

Therefore, the GCF of 1401/980,1688/674 is 1/330260.

Greatest Common Factor of 1401,1688

To find the highest common factor of 1401,1688, we have to find the factors of both numbers and list the highest common factor.

The factors of 1401 are 1, 3, 467, 1401

The factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688

The HCF of 1401,1688 is 1.

Lets's calculate GCF of 1401,1688

Greatest Common Factor (GCF) of 1401,1688 By Common Division

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

Greatest Common Factor of 1401,1688 By Matching Biggest Common Factor Method

Greatest Common Factor of 1401,1688 By Matching Biggest Common Factor Method

Now, list down the factors of 1401

:

1,3,467,1401

Now, list down the factors of 1688

:

1,2,4,8,211,422,844,1688

Greatest Common Factor

We found the factors 1401,1688 . The biggest common factor number is the GCF number.
So the greatest common factor 1401,1688 is 1.

Lets's calculate LCM of 980,674

Lowest Common Multiple of 980,674 using Common Division

2 980, 674
490, 337

∴ So the LCM of the given numbers is 2 x 490 x 337 = 330260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330260

Therefore, the GCF of Fractions 1401/980,1688/674 is 1/330260

Least Common Multiple of 980,674 with GCF Formula

Least Common Multiple of 980,674 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 980,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,674) = 2

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

GCF(980,674) x common factors =2 x 1 = 2

LCM(980,674) = ( 980 × 674 ) / 2

LCM(980,674) = 660520 / 2

LCM(980,674) = 330260


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1401/980, 1688/674

1. What is the HCF of 1401,1688?

The HCF of 1401,1688 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 1401/980, 1688/674?

Answer: GCF of Numerators as per given numbers 1401/980, 1688/674 is

GCF of Numerators i.e. for 1401,1688 is 1

LCM of denominators i.e. for 980,674 is 330260.

Thus, GCF of Fractions is 1/330260.Finally, GCF of Fractions for 1401/980, 1688/674 is 1/330260.