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GCF of 685/25, 343/478

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 685/25, 343/478 i.e 1/11950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 685/25, 343/478.

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 685/25,343/478?

Given fractions are 685/25,343/478

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 685/25,343/478, numerators are 685,343

Denominators are 25,478

The GCF of 685,343 is 1 .

LCM of 25,478 is 11950.

The greatest common factor of 685/25,343/478 = [GCF of 685,343]/[LCM of 25,478]= 1/11950

Therefore, the GCF of 685/25,343/478 is 1/11950.

Greatest Common Factor of 685,343

To find the highest common factor of 685,343, we have to find the factors of both numbers and list the highest common factor.

The factors of 685 are 1, 5, 137, 685

The factors of 343 are 1, 7, 49, 343

The HCF of 685,343 is 1.

Lets's calculate GCF of 685,343

Greatest Common Factor (GCF) of 685,343 By Common Division

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

Greatest Common Factor of 685,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,343 By Matching Biggest Common Factor Method

Now, list down the factors of 685

:

1,5,137,685

Now, list down the factors of 343

:

1,7,49,343

Greatest Common Factor

We found the factors 685,343 . The biggest common factor number is the GCF number.
So the greatest common factor 685,343 is 1.

Lets's calculate LCM of 25,478

Lowest Common Multiple of 25,478 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11950

Therefore, the GCF of Fractions 685/25,343/478 is 1/11950

Least Common Multiple of 25,478 with GCF Formula

Least Common Multiple of 25,478 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 25,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,478) = 1

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

GCF(25,478) x common factors =1 x 1 = 1

LCM(25,478) = ( 25 × 478 ) / 1

LCM(25,478) = 11950 / 1

LCM(25,478) = 11950


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FAQs on GCF of Fractions of 685/25, 343/478

1. What is the HCF of 685,343?

The HCF of 685,343 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 685/25, 343/478?

Answer: GCF of Numerators as per given numbers 685/25, 343/478 is

GCF of Numerators i.e. for 685,343 is 1

LCM of denominators i.e. for 25,478 is 11950.

Thus, GCF of Fractions is 1/11950.Finally, GCF of Fractions for 685/25, 343/478 is 1/11950.