GCF of 7768/972, 7422/1959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7768/972, 7422/1959 i.e 2/634716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7768/972, 7422/1959.
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 7768/972,7422/1959?
Given fractions are 7768/972,7422/1959
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 7768/972,7422/1959, numerators are 7768,7422
Denominators are 972,1959
The GCF of 7768,7422 is 2 .
LCM of 972,1959 is 634716.
The greatest common factor of 7768/972,7422/1959 = [GCF of 7768,7422]/[LCM of 972,1959]= 2/634716
Therefore, the GCF of 7768/972,7422/1959 is 2/634716.
To find the highest common factor of 7768,7422, we have to find the factors of both numbers and list the highest common factor.
The factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768
The factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422
The HCF of 7768,7422 is 2.
Lets's calculate GCF of 7768,7422
| 2 | 7768, 7422 |
| 3884, 3711 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7768,7422 By Matching Biggest Common Factor Method
Now, list down the factors of 7768
:1,2,4,8,971,1942,3884,7768
Now, list down the factors of 7422
:1,2,3,6,1237,2474,3711,7422
Greatest Common Factor
We found the factors 7768,7422 . The biggest common factor number is the GCF number.
So the greatest common factor 7768,7422 is 2.
Lets's calculate LCM of 972,1959
| 3 | 972, 1959 |
| 324, 653 |
∴ So the LCM of the given numbers is 3 x 324 x 653 = 634716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/634716
Therefore, the GCF of Fractions 7768/972,7422/1959 is 2/634716
Least Common Multiple of 972,1959 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 972,1959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,1959) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(972,1959) x common factors =3 x 1 = 3
LCM(972,1959) = ( 972 × 1959 ) / 3
LCM(972,1959) = 1904148 / 3
LCM(972,1959) = 634716
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FAQs on GCF of Fractions of 7768/972, 7422/1959
1. What is the HCF of 7768,7422?
The HCF of 7768,7422 is 2
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 7768/972, 7422/1959?
Answer: GCF of Numerators as per given numbers 7768/972, 7422/1959 is
GCF of Numerators i.e. for 7768,7422 is 2
LCM of denominators i.e. for 972,1959 is 634716.
Thus, GCF of Fractions is 2/634716.Finally, GCF of Fractions for 7768/972, 7422/1959 is 2/634716.