GCF of 1171/474, 8511/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1171/474, 8511/755 i.e 1/357870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1171/474, 8511/755.
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 1171/474,8511/755?
Given fractions are 1171/474,8511/755
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 1171/474,8511/755, numerators are 1171,8511
Denominators are 474,755
The GCF of 1171,8511 is 1 .
LCM of 474,755 is 357870.
The greatest common factor of 1171/474,8511/755 = [GCF of 1171,8511]/[LCM of 474,755]= 1/357870
Therefore, the GCF of 1171/474,8511/755 is 1/357870.
To find the highest common factor of 1171,8511, we have to find the factors of both numbers and list the highest common factor.
The factors of 1171 are 1, 1171
The factors of 8511 are 1, 3, 2837, 8511
The HCF of 1171,8511 is 1.
Lets's calculate GCF of 1171,8511
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1171,8511 By Matching Biggest Common Factor Method
Now, list down the factors of 1171
:1,1171
Now, list down the factors of 8511
:1,3,2837,8511
Greatest Common Factor
We found the factors 1171,8511 . The biggest common factor number is the GCF number.
So the greatest common factor 1171,8511 is 1.
Lets's calculate LCM of 474,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 357870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/357870
Therefore, the GCF of Fractions 1171/474,8511/755 is 1/357870
Least Common Multiple of 474,755 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 474,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(474,755) x common factors =1 x 1 = 1
LCM(474,755) = ( 474 × 755 ) / 1
LCM(474,755) = 357870 / 1
LCM(474,755) = 357870
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FAQs on GCF of Fractions of 1171/474, 8511/755
1. What is the HCF of 1171,8511?
The HCF of 1171,8511 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 1171/474, 8511/755?
Answer: GCF of Numerators as per given numbers 1171/474, 8511/755 is
GCF of Numerators i.e. for 1171,8511 is 1
LCM of denominators i.e. for 474,755 is 357870.
Thus, GCF of Fractions is 1/357870.Finally, GCF of Fractions for 1171/474, 8511/755 is 1/357870.