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GCF of 701/67, 817/778

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 701/67, 817/778 i.e 1/52126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 701/67, 817/778.

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 701/67,817/778?

Given fractions are 701/67,817/778

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 701/67,817/778, numerators are 701,817

Denominators are 67,778

The GCF of 701,817 is 1 .

LCM of 67,778 is 52126.

The greatest common factor of 701/67,817/778 = [GCF of 701,817]/[LCM of 67,778]= 1/52126

Therefore, the GCF of 701/67,817/778 is 1/52126.

Greatest Common Factor of 701,817

To find the highest common factor of 701,817, we have to find the factors of both numbers and list the highest common factor.

The factors of 701 are 1, 701

The factors of 817 are 1, 19, 43, 817

The HCF of 701,817 is 1.

Lets's calculate GCF of 701,817

Greatest Common Factor (GCF) of 701,817 By Common Division

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

Greatest Common Factor of 701,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,817 By Matching Biggest Common Factor Method

Now, list down the factors of 701

:

1,701

Now, list down the factors of 817

:

1,19,43,817

Greatest Common Factor

We found the factors 701,817 . The biggest common factor number is the GCF number.
So the greatest common factor 701,817 is 1.

Lets's calculate LCM of 67,778

Lowest Common Multiple of 67,778 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 52126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52126

Therefore, the GCF of Fractions 701/67,817/778 is 1/52126

Least Common Multiple of 67,778 with GCF Formula

Least Common Multiple of 67,778 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 67,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,778) = 1

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

GCF(67,778) x common factors =1 x 1 = 1

LCM(67,778) = ( 67 × 778 ) / 1

LCM(67,778) = 52126 / 1

LCM(67,778) = 52126


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FAQs on GCF of Fractions of 701/67, 817/778

1. What is the HCF of 701,817?

The HCF of 701,817 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 701/67, 817/778?

Answer: GCF of Numerators as per given numbers 701/67, 817/778 is

GCF of Numerators i.e. for 701,817 is 1

LCM of denominators i.e. for 67,778 is 52126.

Thus, GCF of Fractions is 1/52126.Finally, GCF of Fractions for 701/67, 817/778 is 1/52126.