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GCF of 741/58, 709/802

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 741/58, 709/802 i.e 1/23258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/58, 709/802.

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 741/58,709/802?

Given fractions are 741/58,709/802

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 741/58,709/802, numerators are 741,709

Denominators are 58,802

The GCF of 741,709 is 1 .

LCM of 58,802 is 23258.

The greatest common factor of 741/58,709/802 = [GCF of 741,709]/[LCM of 58,802]= 1/23258

Therefore, the GCF of 741/58,709/802 is 1/23258.

Greatest Common Factor of 741,709

To find the highest common factor of 741,709, we have to find the factors of both numbers and list the highest common factor.

The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741

The factors of 709 are 1, 709

The HCF of 741,709 is 1.

Lets's calculate GCF of 741,709

Greatest Common Factor (GCF) of 741,709 By Common Division

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

Greatest Common Factor of 741,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,709 By Matching Biggest Common Factor Method

Now, list down the factors of 741

:

1,3,13,19,39,57,247,741

Now, list down the factors of 709

:

1,709

Greatest Common Factor

We found the factors 741,709 . The biggest common factor number is the GCF number.
So the greatest common factor 741,709 is 1.

Lets's calculate LCM of 58,802

Lowest Common Multiple of 58,802 using Common Division

2 58, 802
29, 401

∴ So the LCM of the given numbers is 2 x 29 x 401 = 23258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23258

Therefore, the GCF of Fractions 741/58,709/802 is 1/23258

Least Common Multiple of 58,802 with GCF Formula

Least Common Multiple of 58,802 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 58,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,802) = 2

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

GCF(58,802) x common factors =2 x 1 = 2

LCM(58,802) = ( 58 × 802 ) / 2

LCM(58,802) = 46516 / 2

LCM(58,802) = 23258


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FAQs on GCF of Fractions of 741/58, 709/802

1. What is the HCF of 741,709?

The HCF of 741,709 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 741/58, 709/802?

Answer: GCF of Numerators as per given numbers 741/58, 709/802 is

GCF of Numerators i.e. for 741,709 is 1

LCM of denominators i.e. for 58,802 is 23258.

Thus, GCF of Fractions is 1/23258.Finally, GCF of Fractions for 741/58, 709/802 is 1/23258.