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GCF of 795/688, 698/300

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 795/688, 698/300 i.e 1/51600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/688, 698/300.

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 795/688,698/300?

Given fractions are 795/688,698/300

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 795/688,698/300, numerators are 795,698

Denominators are 688,300

The GCF of 795,698 is 1 .

LCM of 688,300 is 51600.

The greatest common factor of 795/688,698/300 = [GCF of 795,698]/[LCM of 688,300]= 1/51600

Therefore, the GCF of 795/688,698/300 is 1/51600.

Greatest Common Factor of 795,698

To find the highest common factor of 795,698, we have to find the factors of both numbers and list the highest common factor.

The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795

The factors of 698 are 1, 2, 349, 698

The HCF of 795,698 is 1.

Lets's calculate GCF of 795,698

Greatest Common Factor (GCF) of 795,698 By Common Division

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

Greatest Common Factor of 795,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,698 By Matching Biggest Common Factor Method

Now, list down the factors of 795

:

1,3,5,15,53,159,265,795

Now, list down the factors of 698

:

1,2,349,698

Greatest Common Factor

We found the factors 795,698 . The biggest common factor number is the GCF number.
So the greatest common factor 795,698 is 1.

Lets's calculate LCM of 688,300

Lowest Common Multiple of 688,300 using Common Division

2 688, 300
2 344, 150
172, 75

∴ So the LCM of the given numbers is 2 x 2 x 172 x 75 = 51600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51600

Therefore, the GCF of Fractions 795/688,698/300 is 1/51600

Least Common Multiple of 688,300 with GCF Formula

Least Common Multiple of 688,300 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 688,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,300) = 4

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

GCF(688,300) x common factors =4 x 1 = 4

LCM(688,300) = ( 688 × 300 ) / 4

LCM(688,300) = 206400 / 4

LCM(688,300) = 51600


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FAQs on GCF of Fractions of 795/688, 698/300

1. What is the HCF of 795,698?

The HCF of 795,698 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 795/688, 698/300?

Answer: GCF of Numerators as per given numbers 795/688, 698/300 is

GCF of Numerators i.e. for 795,698 is 1

LCM of denominators i.e. for 688,300 is 51600.

Thus, GCF of Fractions is 1/51600.Finally, GCF of Fractions for 795/688, 698/300 is 1/51600.