How to Find GCF of 1301/170, 6139/2657?

GCF of 1301/170, 6139/2657

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 1301/170, 6139/2657 i.e 1/451690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1301/170, 6139/2657.

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 1301/170,6139/2657?

Given fractions are 1301/170,6139/2657

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 1301/170,6139/2657, numerators are 1301,6139

Denominators are 170,2657

The GCF of 1301,6139 is 1 .

LCM of 170,2657 is 451690.

The greatest common factor of 1301/170,6139/2657 = [GCF of 1301,6139]/[LCM of 170,2657]= 1/451690

Therefore, the GCF of 1301/170,6139/2657 is 1/451690.

Greatest Common Factor of 1301,6139

To find the highest common factor of 1301,6139, we have to find the factors of both numbers and list the highest common factor.

The factors of 1301 are 1, 1301

The factors of 6139 are 1, 7, 877, 6139

The HCF of 1301,6139 is 1.

Lets's calculate GCF of 1301,6139

Greatest Common Factor (GCF) of 1301,6139 By Common Division

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

Greatest Common Factor of 1301,6139 By Matching Biggest Common Factor Method

Now, list down the factors of 1301

1,1301

Now, list down the factors of 6139

1,7,877,6139

Greatest Common Factor

We found the factors 1301,6139 . The biggest common factor number is the GCF number.
So the greatest common factor 1301,6139 is 1.

Lets's calculate LCM of 170,2657

Lowest Common Multiple of 170,2657 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 451690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/451690

Therefore, the GCF of Fractions 1301/170,6139/2657 is 1/451690

Least Common Multiple of 170,2657 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 170,2657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,2657) = 1

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

GCF(170,2657) x common factors =1 x 1 = 1

LCM(170,2657) = ( 170 × 2657 ) / 1

LCM(170,2657) = 451690 / 1

LCM(170,2657) = 451690

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FAQs on GCF of Fractions of 1301/170, 6139/2657

1. What is the HCF of 1301,6139?

The HCF of 1301,6139 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 1301/170, 6139/2657?

Answer: GCF of Numerators as per given numbers 1301/170, 6139/2657 is

GCF of Numerators i.e. for 1301,6139 is 1

LCM of denominators i.e. for 170,2657 is 451690.

Thus, GCF of Fractions is 1/451690.Finally, GCF of Fractions for 1301/170, 6139/2657 is 1/451690.