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GCF of 1427/490, 1648/542

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 1427/490, 1648/542 i.e 1/132790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1427/490, 1648/542.

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 1427/490,1648/542?

Given fractions are 1427/490,1648/542

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 1427/490,1648/542, numerators are 1427,1648

Denominators are 490,542

The GCF of 1427,1648 is 1 .

LCM of 490,542 is 132790.

The greatest common factor of 1427/490,1648/542 = [GCF of 1427,1648]/[LCM of 490,542]= 1/132790

Therefore, the GCF of 1427/490,1648/542 is 1/132790.

Greatest Common Factor of 1427,1648

To find the highest common factor of 1427,1648, we have to find the factors of both numbers and list the highest common factor.

The factors of 1427 are 1, 1427

The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648

The HCF of 1427,1648 is 1.

Lets's calculate GCF of 1427,1648

Greatest Common Factor (GCF) of 1427,1648 By Common Division

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

Greatest Common Factor of 1427,1648 By Matching Biggest Common Factor Method

Greatest Common Factor of 1427,1648 By Matching Biggest Common Factor Method

Now, list down the factors of 1427

:

1,1427

Now, list down the factors of 1648

:

1,2,4,8,16,103,206,412,824,1648

Greatest Common Factor

We found the factors 1427,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 1427,1648 is 1.

Lets's calculate LCM of 490,542

Lowest Common Multiple of 490,542 using Common Division

2 490, 542
245, 271

∴ So the LCM of the given numbers is 2 x 245 x 271 = 132790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132790

Therefore, the GCF of Fractions 1427/490,1648/542 is 1/132790

Least Common Multiple of 490,542 with GCF Formula

Least Common Multiple of 490,542 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 490,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,542) = 2

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

GCF(490,542) x common factors =2 x 1 = 2

LCM(490,542) = ( 490 × 542 ) / 2

LCM(490,542) = 265580 / 2

LCM(490,542) = 132790


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FAQs on GCF of Fractions of 1427/490, 1648/542

1. What is the HCF of 1427,1648?

The HCF of 1427,1648 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 1427/490, 1648/542?

Answer: GCF of Numerators as per given numbers 1427/490, 1648/542 is

GCF of Numerators i.e. for 1427,1648 is 1

LCM of denominators i.e. for 490,542 is 132790.

Thus, GCF of Fractions is 1/132790.Finally, GCF of Fractions for 1427/490, 1648/542 is 1/132790.