GCF of 7946/762, 9659/2986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7946/762, 9659/2986 i.e 1/1137666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7946/762, 9659/2986.
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 7946/762,9659/2986?
Given fractions are 7946/762,9659/2986
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 7946/762,9659/2986, numerators are 7946,9659
Denominators are 762,2986
The GCF of 7946,9659 is 1 .
LCM of 762,2986 is 1137666.
The greatest common factor of 7946/762,9659/2986 = [GCF of 7946,9659]/[LCM of 762,2986]= 1/1137666
Therefore, the GCF of 7946/762,9659/2986 is 1/1137666.
To find the highest common factor of 7946,9659, we have to find the factors of both numbers and list the highest common factor.
The factors of 7946 are 1, 2, 29, 58, 137, 274, 3973, 7946
The factors of 9659 are 1, 13, 743, 9659
The HCF of 7946,9659 is 1.
Lets's calculate GCF of 7946,9659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7946,9659 By Matching Biggest Common Factor Method
Now, list down the factors of 7946
:1,2,29,58,137,274,3973,7946
Now, list down the factors of 9659
:1,13,743,9659
Greatest Common Factor
We found the factors 7946,9659 . The biggest common factor number is the GCF number.
So the greatest common factor 7946,9659 is 1.
Lets's calculate LCM of 762,2986
| 2 | 762, 2986 |
| 381, 1493 |
∴ So the LCM of the given numbers is 2 x 381 x 1493 = 1137666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1137666
Therefore, the GCF of Fractions 7946/762,9659/2986 is 1/1137666
Least Common Multiple of 762,2986 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 762,2986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,2986) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(762,2986) x common factors =2 x 1 = 2
LCM(762,2986) = ( 762 × 2986 ) / 2
LCM(762,2986) = 2275332 / 2
LCM(762,2986) = 1137666
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FAQs on GCF of Fractions of 7946/762, 9659/2986
1. What is the HCF of 7946,9659?
The HCF of 7946,9659 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 7946/762, 9659/2986?
Answer: GCF of Numerators as per given numbers 7946/762, 9659/2986 is
GCF of Numerators i.e. for 7946,9659 is 1
LCM of denominators i.e. for 762,2986 is 1137666.
Thus, GCF of Fractions is 1/1137666.Finally, GCF of Fractions for 7946/762, 9659/2986 is 1/1137666.