GCF of 7718/442, 5412/7946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7718/442, 5412/7946 i.e 2/1756066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7718/442, 5412/7946.
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 7718/442,5412/7946?
Given fractions are 7718/442,5412/7946
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 7718/442,5412/7946, numerators are 7718,5412
Denominators are 442,7946
The GCF of 7718,5412 is 2 .
LCM of 442,7946 is 1756066.
The greatest common factor of 7718/442,5412/7946 = [GCF of 7718,5412]/[LCM of 442,7946]= 2/1756066
Therefore, the GCF of 7718/442,5412/7946 is 2/1756066.
To find the highest common factor of 7718,5412, we have to find the factors of both numbers and list the highest common factor.
The factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718
The factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412
The HCF of 7718,5412 is 2.
Lets's calculate GCF of 7718,5412
| 2 | 7718, 5412 |
| 3859, 2706 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7718,5412 By Matching Biggest Common Factor Method
Now, list down the factors of 7718
:1,2,17,34,227,454,3859,7718
Now, list down the factors of 5412
:1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412
Greatest Common Factor
We found the factors 7718,5412 . The biggest common factor number is the GCF number.
So the greatest common factor 7718,5412 is 2.
Lets's calculate LCM of 442,7946
| 2 | 442, 7946 |
| 221, 3973 |
∴ So the LCM of the given numbers is 2 x 221 x 3973 = 1756066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1756066
Therefore, the GCF of Fractions 7718/442,5412/7946 is 2/1756066
Least Common Multiple of 442,7946 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 442,7946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,7946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,7946) x common factors =2 x 1 = 2
LCM(442,7946) = ( 442 × 7946 ) / 2
LCM(442,7946) = 3512132 / 2
LCM(442,7946) = 1756066
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7718/442, 5412/7946
1. What is the HCF of 7718,5412?
The HCF of 7718,5412 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 7718/442, 5412/7946?
Answer: GCF of Numerators as per given numbers 7718/442, 5412/7946 is
GCF of Numerators i.e. for 7718,5412 is 2
LCM of denominators i.e. for 442,7946 is 1756066.
Thus, GCF of Fractions is 2/1756066.Finally, GCF of Fractions for 7718/442, 5412/7946 is 2/1756066.