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GCF of 236/45, 709/518

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 236/45, 709/518 i.e 1/23310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/45, 709/518.

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 236/45,709/518?

Given fractions are 236/45,709/518

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 236/45,709/518, numerators are 236,709

Denominators are 45,518

The GCF of 236,709 is 1 .

LCM of 45,518 is 23310.

The greatest common factor of 236/45,709/518 = [GCF of 236,709]/[LCM of 45,518]= 1/23310

Therefore, the GCF of 236/45,709/518 is 1/23310.

Greatest Common Factor of 236,709

To find the highest common factor of 236,709, we have to find the factors of both numbers and list the highest common factor.

The factors of 236 are 1, 2, 4, 59, 118, 236

The factors of 709 are 1, 709

The HCF of 236,709 is 1.

Lets's calculate GCF of 236,709

Greatest Common Factor (GCF) of 236,709 By Common Division

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

Greatest Common Factor of 236,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,709 By Matching Biggest Common Factor Method

Now, list down the factors of 236

:

1,2,4,59,118,236

Now, list down the factors of 709

:

1,709

Greatest Common Factor

We found the factors 236,709 . The biggest common factor number is the GCF number.
So the greatest common factor 236,709 is 1.

Lets's calculate LCM of 45,518

Lowest Common Multiple of 45,518 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23310

Therefore, the GCF of Fractions 236/45,709/518 is 1/23310

Least Common Multiple of 45,518 with GCF Formula

Least Common Multiple of 45,518 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 45,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,518) = 1

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

GCF(45,518) x common factors =1 x 1 = 1

LCM(45,518) = ( 45 × 518 ) / 1

LCM(45,518) = 23310 / 1

LCM(45,518) = 23310


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FAQs on GCF of Fractions of 236/45, 709/518

1. What is the HCF of 236,709?

The HCF of 236,709 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 236/45, 709/518?

Answer: GCF of Numerators as per given numbers 236/45, 709/518 is

GCF of Numerators i.e. for 236,709 is 1

LCM of denominators i.e. for 45,518 is 23310.

Thus, GCF of Fractions is 1/23310.Finally, GCF of Fractions for 236/45, 709/518 is 1/23310.