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GCF of 678/610, 3499/835

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 678/610, 3499/835 i.e 1/101870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 678/610, 3499/835.

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 678/610,3499/835?

Given fractions are 678/610,3499/835

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 678/610,3499/835, numerators are 678,3499

Denominators are 610,835

The GCF of 678,3499 is 1 .

LCM of 610,835 is 101870.

The greatest common factor of 678/610,3499/835 = [GCF of 678,3499]/[LCM of 610,835]= 1/101870

Therefore, the GCF of 678/610,3499/835 is 1/101870.

Greatest Common Factor of 678,3499

To find the highest common factor of 678,3499, we have to find the factors of both numbers and list the highest common factor.

The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678

The factors of 3499 are 1, 3499

The HCF of 678,3499 is 1.

Lets's calculate GCF of 678,3499

Greatest Common Factor (GCF) of 678,3499 By Common Division

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

Greatest Common Factor of 678,3499 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,3499 By Matching Biggest Common Factor Method

Now, list down the factors of 678

:

1,2,3,6,113,226,339,678

Now, list down the factors of 3499

:

1,3499

Greatest Common Factor

We found the factors 678,3499 . The biggest common factor number is the GCF number.
So the greatest common factor 678,3499 is 1.

Lets's calculate LCM of 610,835

Lowest Common Multiple of 610,835 using Common Division

5 610, 835
122, 167

∴ So the LCM of the given numbers is 5 x 122 x 167 = 101870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101870

Therefore, the GCF of Fractions 678/610,3499/835 is 1/101870

Least Common Multiple of 610,835 with GCF Formula

Least Common Multiple of 610,835 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 610,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,835) = 5

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

GCF(610,835) x common factors =5 x 1 = 5

LCM(610,835) = ( 610 × 835 ) / 5

LCM(610,835) = 509350 / 5

LCM(610,835) = 101870


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FAQs on GCF of Fractions of 678/610, 3499/835

1. What is the HCF of 678,3499?

The HCF of 678,3499 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 678/610, 3499/835?

Answer: GCF of Numerators as per given numbers 678/610, 3499/835 is

GCF of Numerators i.e. for 678,3499 is 1

LCM of denominators i.e. for 610,835 is 101870.

Thus, GCF of Fractions is 1/101870.Finally, GCF of Fractions for 678/610, 3499/835 is 1/101870.