How to Find GCF of 137/613, 1732/706?

GCF of 137/613, 1732/706

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 137/613, 1732/706 i.e 1/432778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 137/613, 1732/706.

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 137/613,1732/706?

Given fractions are 137/613,1732/706

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 137/613,1732/706, numerators are 137,1732

Denominators are 613,706

The GCF of 137,1732 is 1 .

LCM of 613,706 is 432778.

The greatest common factor of 137/613,1732/706 = [GCF of 137,1732]/[LCM of 613,706]= 1/432778

Therefore, the GCF of 137/613,1732/706 is 1/432778.

Greatest Common Factor of 137,1732

To find the highest common factor of 137,1732, we have to find the factors of both numbers and list the highest common factor.

The factors of 137 are 1, 137

The factors of 1732 are 1, 2, 4, 433, 866, 1732

The HCF of 137,1732 is 1.

Lets's calculate GCF of 137,1732

Greatest Common Factor (GCF) of 137,1732 By Common Division

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

Greatest Common Factor of 137,1732 By Matching Biggest Common Factor Method

Now, list down the factors of 137

1,137

Now, list down the factors of 1732

1,2,4,433,866,1732

Greatest Common Factor

We found the factors 137,1732 . The biggest common factor number is the GCF number.
So the greatest common factor 137,1732 is 1.

Lets's calculate LCM of 613,706

Lowest Common Multiple of 613,706 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 432778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432778

Therefore, the GCF of Fractions 137/613,1732/706 is 1/432778

Least Common Multiple of 613,706 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 613,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,706) = 1

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

GCF(613,706) x common factors =1 x 1 = 1

LCM(613,706) = ( 613 × 706 ) / 1

LCM(613,706) = 432778 / 1

LCM(613,706) = 432778

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FAQs on GCF of Fractions of 137/613, 1732/706

1. What is the HCF of 137,1732?

The HCF of 137,1732 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 137/613, 1732/706?

Answer: GCF of Numerators as per given numbers 137/613, 1732/706 is

GCF of Numerators i.e. for 137,1732 is 1

LCM of denominators i.e. for 613,706 is 432778.

Thus, GCF of Fractions is 1/432778.Finally, GCF of Fractions for 137/613, 1732/706 is 1/432778.