GCF of 795/763, 886/941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 795/763, 886/941 i.e 1/717983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/763, 886/941.
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 795/763,886/941?
Given fractions are 795/763,886/941
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 795/763,886/941, numerators are 795,886
Denominators are 763,941
The GCF of 795,886 is 1 .
LCM of 763,941 is 717983.
The greatest common factor of 795/763,886/941 = [GCF of 795,886]/[LCM of 763,941]= 1/717983
Therefore, the GCF of 795/763,886/941 is 1/717983.
To find the highest common factor of 795,886, 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 886 are 1, 2, 443, 886
The HCF of 795,886 is 1.
Lets's calculate GCF of 795,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 795,886 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 886
:1,2,443,886
Greatest Common Factor
We found the factors 795,886 . The biggest common factor number is the GCF number.
So the greatest common factor 795,886 is 1.
Lets's calculate LCM of 763,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 717983
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717983
Therefore, the GCF of Fractions 795/763,886/941 is 1/717983
Least Common Multiple of 763,941 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 763,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,941) x common factors =1 x 1 = 1
LCM(763,941) = ( 763 × 941 ) / 1
LCM(763,941) = 717983 / 1
LCM(763,941) = 717983
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FAQs on GCF of Fractions of 795/763, 886/941
1. What is the HCF of 795,886?
The HCF of 795,886 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 795/763, 886/941?
Answer: GCF of Numerators as per given numbers 795/763, 886/941 is
GCF of Numerators i.e. for 795,886 is 1
LCM of denominators i.e. for 763,941 is 717983.
Thus, GCF of Fractions is 1/717983.Finally, GCF of Fractions for 795/763, 886/941 is 1/717983.