GCF of 779/92, 654/757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 779/92, 654/757 i.e 1/69644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/92, 654/757.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 779/92,654/757?
Given fractions are 779/92,654/757
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 779/92,654/757, numerators are 779,654
Denominators are 92,757
The GCF of 779,654 is 1 .
LCM of 92,757 is 69644.
The greatest common factor of 779/92,654/757 = [GCF of 779,654]/[LCM of 92,757]= 1/69644
Therefore, the GCF of 779/92,654/757 is 1/69644.
To find the highest common factor of 779,654, we have to find the factors of both numbers and list the highest common factor.
The factors of 779 are 1, 19, 41, 779
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The HCF of 779,654 is 1.
Lets's calculate GCF of 779,654
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 779,654 By Matching Biggest Common Factor Method
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 779,654 . The biggest common factor number is the GCF number.
So the greatest common factor 779,654 is 1.
Lets's calculate LCM of 92,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 69644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69644
Therefore, the GCF of Fractions 779/92,654/757 is 1/69644
Least Common Multiple of 92,757 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 92,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,757) x common factors =1 x 1 = 1
LCM(92,757) = ( 92 × 757 ) / 1
LCM(92,757) = 69644 / 1
LCM(92,757) = 69644
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FAQs on GCF of Fractions of 779/92, 654/757
1. What is the HCF of 779,654?
The HCF of 779,654 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 779/92, 654/757?
Answer: GCF of Numerators as per given numbers 779/92, 654/757 is
GCF of Numerators i.e. for 779,654 is 1
LCM of denominators i.e. for 92,757 is 69644.
Thus, GCF of Fractions is 1/69644.Finally, GCF of Fractions for 779/92, 654/757 is 1/69644.