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GCF of 110/778, 829/966

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 110/778, 829/966 i.e 1/375774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/778, 829/966.

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 110/778,829/966?

Given fractions are 110/778,829/966

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 110/778,829/966, numerators are 110,829

Denominators are 778,966

The GCF of 110,829 is 1 .

LCM of 778,966 is 375774.

The greatest common factor of 110/778,829/966 = [GCF of 110,829]/[LCM of 778,966]= 1/375774

Therefore, the GCF of 110/778,829/966 is 1/375774.

Greatest Common Factor of 110,829

To find the highest common factor of 110,829, we have to find the factors of both numbers and list the highest common factor.

The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110

The factors of 829 are 1, 829

The HCF of 110,829 is 1.

Lets's calculate GCF of 110,829

Greatest Common Factor (GCF) of 110,829 By Common Division

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

Greatest Common Factor of 110,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,829 By Matching Biggest Common Factor Method

Now, list down the factors of 110

:

1,2,5,10,11,22,55,110

Now, list down the factors of 829

:

1,829

Greatest Common Factor

We found the factors 110,829 . The biggest common factor number is the GCF number.
So the greatest common factor 110,829 is 1.

Lets's calculate LCM of 778,966

Lowest Common Multiple of 778,966 using Common Division

2 778, 966
389, 483

∴ So the LCM of the given numbers is 2 x 389 x 483 = 375774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375774

Therefore, the GCF of Fractions 110/778,829/966 is 1/375774

Least Common Multiple of 778,966 with GCF Formula

Least Common Multiple of 778,966 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 778,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,966) = 2

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

GCF(778,966) x common factors =2 x 1 = 2

LCM(778,966) = ( 778 × 966 ) / 2

LCM(778,966) = 751548 / 2

LCM(778,966) = 375774


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FAQs on GCF of Fractions of 110/778, 829/966

1. What is the HCF of 110,829?

The HCF of 110,829 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 110/778, 829/966?

Answer: GCF of Numerators as per given numbers 110/778, 829/966 is

GCF of Numerators i.e. for 110,829 is 1

LCM of denominators i.e. for 778,966 is 375774.

Thus, GCF of Fractions is 1/375774.Finally, GCF of Fractions for 110/778, 829/966 is 1/375774.