GCF of 7451/766, 1962/8837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7451/766, 1962/8837 i.e 1/6769142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7451/766, 1962/8837.
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 7451/766,1962/8837?
Given fractions are 7451/766,1962/8837
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 7451/766,1962/8837, numerators are 7451,1962
Denominators are 766,8837
The GCF of 7451,1962 is 1 .
LCM of 766,8837 is 6769142.
The greatest common factor of 7451/766,1962/8837 = [GCF of 7451,1962]/[LCM of 766,8837]= 1/6769142
Therefore, the GCF of 7451/766,1962/8837 is 1/6769142.
To find the highest common factor of 7451,1962, we have to find the factors of both numbers and list the highest common factor.
The factors of 7451 are 1, 7451
The factors of 1962 are 1, 2, 3, 6, 9, 18, 109, 218, 327, 654, 981, 1962
The HCF of 7451,1962 is 1.
Lets's calculate GCF of 7451,1962
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7451,1962 By Matching Biggest Common Factor Method
Now, list down the factors of 7451
:1,7451
Now, list down the factors of 1962
:1,2,3,6,9,18,109,218,327,654,981,1962
Greatest Common Factor
We found the factors 7451,1962 . The biggest common factor number is the GCF number.
So the greatest common factor 7451,1962 is 1.
Lets's calculate LCM of 766,8837
Given numbers has no common factors except 1. So, there LCM is their product i.e 6769142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6769142
Therefore, the GCF of Fractions 7451/766,1962/8837 is 1/6769142
Least Common Multiple of 766,8837 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 766,8837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,8837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,8837) x common factors =1 x 1 = 1
LCM(766,8837) = ( 766 × 8837 ) / 1
LCM(766,8837) = 6769142 / 1
LCM(766,8837) = 6769142
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FAQs on GCF of Fractions of 7451/766, 1962/8837
1. What is the HCF of 7451,1962?
The HCF of 7451,1962 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 7451/766, 1962/8837?
Answer: GCF of Numerators as per given numbers 7451/766, 1962/8837 is
GCF of Numerators i.e. for 7451,1962 is 1
LCM of denominators i.e. for 766,8837 is 6769142.
Thus, GCF of Fractions is 1/6769142.Finally, GCF of Fractions for 7451/766, 1962/8837 is 1/6769142.