GCF of 779/695, 782/772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 779/695, 782/772 i.e 1/536540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/695, 782/772.
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 779/695,782/772?
Given fractions are 779/695,782/772
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 779/695,782/772, numerators are 779,782
Denominators are 695,772
The GCF of 779,782 is 1 .
LCM of 695,772 is 536540.
The greatest common factor of 779/695,782/772 = [GCF of 779,782]/[LCM of 695,772]= 1/536540
Therefore, the GCF of 779/695,782/772 is 1/536540.
To find the highest common factor of 779,782, 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 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 779,782 is 1.
Lets's calculate GCF of 779,782
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 779,782 By Matching Biggest Common Factor Method
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 779,782 . The biggest common factor number is the GCF number.
So the greatest common factor 779,782 is 1.
Lets's calculate LCM of 695,772
Given numbers has no common factors except 1. So, there LCM is their product i.e 536540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/536540
Therefore, the GCF of Fractions 779/695,782/772 is 1/536540
Least Common Multiple of 695,772 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 695,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,772) x common factors =1 x 1 = 1
LCM(695,772) = ( 695 × 772 ) / 1
LCM(695,772) = 536540 / 1
LCM(695,772) = 536540
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FAQs on GCF of Fractions of 779/695, 782/772
1. What is the HCF of 779,782?
The HCF of 779,782 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 779/695, 782/772?
Answer: GCF of Numerators as per given numbers 779/695, 782/772 is
GCF of Numerators i.e. for 779,782 is 1
LCM of denominators i.e. for 695,772 is 536540.
Thus, GCF of Fractions is 1/536540.Finally, GCF of Fractions for 779/695, 782/772 is 1/536540.