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GCF of 361/78, 719/810

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 361/78, 719/810 i.e 1/10530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 361/78, 719/810.

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 361/78,719/810?

Given fractions are 361/78,719/810

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 361/78,719/810, numerators are 361,719

Denominators are 78,810

The GCF of 361,719 is 1 .

LCM of 78,810 is 10530.

The greatest common factor of 361/78,719/810 = [GCF of 361,719]/[LCM of 78,810]= 1/10530

Therefore, the GCF of 361/78,719/810 is 1/10530.

Greatest Common Factor of 361,719

To find the highest common factor of 361,719, we have to find the factors of both numbers and list the highest common factor.

The factors of 361 are 1, 19, 361

The factors of 719 are 1, 719

The HCF of 361,719 is 1.

Lets's calculate GCF of 361,719

Greatest Common Factor (GCF) of 361,719 By Common Division

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

Greatest Common Factor of 361,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,719 By Matching Biggest Common Factor Method

Now, list down the factors of 361

:

1,19,361

Now, list down the factors of 719

:

1,719

Greatest Common Factor

We found the factors 361,719 . The biggest common factor number is the GCF number.
So the greatest common factor 361,719 is 1.

Lets's calculate LCM of 78,810

Lowest Common Multiple of 78,810 using Common Division

2 78, 810
3 39, 405
13, 135

∴ So the LCM of the given numbers is 2 x 3 x 13 x 135 = 10530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10530

Therefore, the GCF of Fractions 361/78,719/810 is 1/10530

Least Common Multiple of 78,810 with GCF Formula

Least Common Multiple of 78,810 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 78,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,810) = 6

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

GCF(78,810) x common factors =6 x 1 = 6

LCM(78,810) = ( 78 × 810 ) / 6

LCM(78,810) = 63180 / 6

LCM(78,810) = 10530


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FAQs on GCF of Fractions of 361/78, 719/810

1. What is the HCF of 361,719?

The HCF of 361,719 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 361/78, 719/810?

Answer: GCF of Numerators as per given numbers 361/78, 719/810 is

GCF of Numerators i.e. for 361,719 is 1

LCM of denominators i.e. for 78,810 is 10530.

Thus, GCF of Fractions is 1/10530.Finally, GCF of Fractions for 361/78, 719/810 is 1/10530.