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GCF of 719/434, 3665/142

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 719/434, 3665/142 i.e 1/30814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 719/434, 3665/142.

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 719/434,3665/142?

Given fractions are 719/434,3665/142

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 719/434,3665/142, numerators are 719,3665

Denominators are 434,142

The GCF of 719,3665 is 1 .

LCM of 434,142 is 30814.

The greatest common factor of 719/434,3665/142 = [GCF of 719,3665]/[LCM of 434,142]= 1/30814

Therefore, the GCF of 719/434,3665/142 is 1/30814.

Greatest Common Factor of 719,3665

To find the highest common factor of 719,3665, we have to find the factors of both numbers and list the highest common factor.

The factors of 719 are 1, 719

The factors of 3665 are 1, 5, 733, 3665

The HCF of 719,3665 is 1.

Lets's calculate GCF of 719,3665

Greatest Common Factor (GCF) of 719,3665 By Common Division

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

Greatest Common Factor of 719,3665 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,3665 By Matching Biggest Common Factor Method

Now, list down the factors of 719

:

1,719

Now, list down the factors of 3665

:

1,5,733,3665

Greatest Common Factor

We found the factors 719,3665 . The biggest common factor number is the GCF number.
So the greatest common factor 719,3665 is 1.

Lets's calculate LCM of 434,142

Lowest Common Multiple of 434,142 using Common Division

2 434, 142
217, 71

∴ So the LCM of the given numbers is 2 x 217 x 71 = 30814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30814

Therefore, the GCF of Fractions 719/434,3665/142 is 1/30814

Least Common Multiple of 434,142 with GCF Formula

Least Common Multiple of 434,142 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 434,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,142) = 2

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

GCF(434,142) x common factors =2 x 1 = 2

LCM(434,142) = ( 434 × 142 ) / 2

LCM(434,142) = 61628 / 2

LCM(434,142) = 30814


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FAQs on GCF of Fractions of 719/434, 3665/142

1. What is the HCF of 719,3665?

The HCF of 719,3665 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 719/434, 3665/142?

Answer: GCF of Numerators as per given numbers 719/434, 3665/142 is

GCF of Numerators i.e. for 719,3665 is 1

LCM of denominators i.e. for 434,142 is 30814.

Thus, GCF of Fractions is 1/30814.Finally, GCF of Fractions for 719/434, 3665/142 is 1/30814.