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GCF of 709/43, 829/541

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 709/43, 829/541 i.e 1/23263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 709/43, 829/541.

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 709/43,829/541?

Given fractions are 709/43,829/541

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 709/43,829/541, numerators are 709,829

Denominators are 43,541

The GCF of 709,829 is 1 .

LCM of 43,541 is 23263.

The greatest common factor of 709/43,829/541 = [GCF of 709,829]/[LCM of 43,541]= 1/23263

Therefore, the GCF of 709/43,829/541 is 1/23263.

Greatest Common Factor of 709,829

To find the highest common factor of 709,829, we have to find the factors of both numbers and list the highest common factor.

The factors of 709 are 1, 709

The factors of 829 are 1, 829

The HCF of 709,829 is 1.

Lets's calculate GCF of 709,829

Greatest Common Factor (GCF) of 709,829 By Common Division

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

Greatest Common Factor of 709,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,829 By Matching Biggest Common Factor Method

Now, list down the factors of 709

:

1,709

Now, list down the factors of 829

:

1,829

Greatest Common Factor

We found the factors 709,829 . The biggest common factor number is the GCF number.
So the greatest common factor 709,829 is 1.

Lets's calculate LCM of 43,541

Lowest Common Multiple of 43,541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23263

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23263

Therefore, the GCF of Fractions 709/43,829/541 is 1/23263

Least Common Multiple of 43,541 with GCF Formula

Least Common Multiple of 43,541 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 43,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,541) = 1

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

GCF(43,541) x common factors =1 x 1 = 1

LCM(43,541) = ( 43 × 541 ) / 1

LCM(43,541) = 23263 / 1

LCM(43,541) = 23263


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FAQs on GCF of Fractions of 709/43, 829/541

1. What is the HCF of 709,829?

The HCF of 709,829 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 709/43, 829/541?

Answer: GCF of Numerators as per given numbers 709/43, 829/541 is

GCF of Numerators i.e. for 709,829 is 1

LCM of denominators i.e. for 43,541 is 23263.

Thus, GCF of Fractions is 1/23263.Finally, GCF of Fractions for 709/43, 829/541 is 1/23263.