How to Find GCF of 1652/137, 2003/4839?

GCF of 1652/137, 2003/4839

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 1652/137, 2003/4839 i.e 1/662943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1652/137, 2003/4839.

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 1652/137,2003/4839?

Given fractions are 1652/137,2003/4839

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 1652/137,2003/4839, numerators are 1652,2003

Denominators are 137,4839

The GCF of 1652,2003 is 1 .

LCM of 137,4839 is 662943.

The greatest common factor of 1652/137,2003/4839 = [GCF of 1652,2003]/[LCM of 137,4839]= 1/662943

Therefore, the GCF of 1652/137,2003/4839 is 1/662943.

Greatest Common Factor of 1652,2003

To find the highest common factor of 1652,2003, we have to find the factors of both numbers and list the highest common factor.

The factors of 1652 are 1, 2, 4, 7, 14, 28, 59, 118, 236, 413, 826, 1652

The factors of 2003 are 1, 2003

The HCF of 1652,2003 is 1.

Lets's calculate GCF of 1652,2003

Greatest Common Factor (GCF) of 1652,2003 By Common Division

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

Greatest Common Factor of 1652,2003 By Matching Biggest Common Factor Method

Now, list down the factors of 1652

1,2,4,7,14,28,59,118,236,413,826,1652

Now, list down the factors of 2003

1,2003

Greatest Common Factor

We found the factors 1652,2003 . The biggest common factor number is the GCF number.
So the greatest common factor 1652,2003 is 1.

Lets's calculate LCM of 137,4839

Lowest Common Multiple of 137,4839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 662943

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/662943

Therefore, the GCF of Fractions 1652/137,2003/4839 is 1/662943

Least Common Multiple of 137,4839 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 137,4839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,4839) = 1

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

GCF(137,4839) x common factors =1 x 1 = 1

LCM(137,4839) = ( 137 × 4839 ) / 1

LCM(137,4839) = 662943 / 1

LCM(137,4839) = 662943

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FAQs on GCF of Fractions of 1652/137, 2003/4839

1. What is the HCF of 1652,2003?

The HCF of 1652,2003 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 1652/137, 2003/4839?

Answer: GCF of Numerators as per given numbers 1652/137, 2003/4839 is

GCF of Numerators i.e. for 1652,2003 is 1

LCM of denominators i.e. for 137,4839 is 662943.

Thus, GCF of Fractions is 1/662943.Finally, GCF of Fractions for 1652/137, 2003/4839 is 1/662943.