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GCF of 389/680, 758/370

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 389/680, 758/370 i.e 1/25160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/680, 758/370.

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 389/680,758/370?

Given fractions are 389/680,758/370

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 389/680,758/370, numerators are 389,758

Denominators are 680,370

The GCF of 389,758 is 1 .

LCM of 680,370 is 25160.

The greatest common factor of 389/680,758/370 = [GCF of 389,758]/[LCM of 680,370]= 1/25160

Therefore, the GCF of 389/680,758/370 is 1/25160.

Greatest Common Factor of 389,758

To find the highest common factor of 389,758, we have to find the factors of both numbers and list the highest common factor.

The factors of 389 are 1, 389

The factors of 758 are 1, 2, 379, 758

The HCF of 389,758 is 1.

Lets's calculate GCF of 389,758

Greatest Common Factor (GCF) of 389,758 By Common Division

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

Greatest Common Factor of 389,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,758 By Matching Biggest Common Factor Method

Now, list down the factors of 389

:

1,389

Now, list down the factors of 758

:

1,2,379,758

Greatest Common Factor

We found the factors 389,758 . The biggest common factor number is the GCF number.
So the greatest common factor 389,758 is 1.

Lets's calculate LCM of 680,370

Lowest Common Multiple of 680,370 using Common Division

2 680, 370
5 340, 185
68, 37

∴ So the LCM of the given numbers is 2 x 5 x 68 x 37 = 25160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25160

Therefore, the GCF of Fractions 389/680,758/370 is 1/25160

Least Common Multiple of 680,370 with GCF Formula

Least Common Multiple of 680,370 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 680,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,370) = 10

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

GCF(680,370) x common factors =10 x 1 = 10

LCM(680,370) = ( 680 × 370 ) / 10

LCM(680,370) = 251600 / 10

LCM(680,370) = 25160


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FAQs on GCF of Fractions of 389/680, 758/370

1. What is the HCF of 389,758?

The HCF of 389,758 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 389/680, 758/370?

Answer: GCF of Numerators as per given numbers 389/680, 758/370 is

GCF of Numerators i.e. for 389,758 is 1

LCM of denominators i.e. for 680,370 is 25160.

Thus, GCF of Fractions is 1/25160.Finally, GCF of Fractions for 389/680, 758/370 is 1/25160.