GCF of 7764/202, 7408/6114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7764/202, 7408/6114 i.e 4/617514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7764/202, 7408/6114.
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 7764/202,7408/6114?
Given fractions are 7764/202,7408/6114
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 7764/202,7408/6114, numerators are 7764,7408
Denominators are 202,6114
The GCF of 7764,7408 is 4 .
LCM of 202,6114 is 617514.
The greatest common factor of 7764/202,7408/6114 = [GCF of 7764,7408]/[LCM of 202,6114]= 4/617514
Therefore, the GCF of 7764/202,7408/6114 is 4/617514.
To find the highest common factor of 7764,7408, we have to find the factors of both numbers and list the highest common factor.
The factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764
The factors of 7408 are 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408
The HCF of 7764,7408 is 4.
Lets's calculate GCF of 7764,7408
| 2 | 7764, 7408 |
| 2 | 3882, 3704 |
| 1941, 1852 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7764,7408 By Matching Biggest Common Factor Method
Now, list down the factors of 7764
:1,2,3,4,6,12,647,1294,1941,2588,3882,7764
Now, list down the factors of 7408
:1,2,4,8,16,463,926,1852,3704,7408
Greatest Common Factor
We found the factors 7764,7408 . The biggest common factor number is the GCF number.
So the greatest common factor 7764,7408 is 4.
Lets's calculate LCM of 202,6114
| 2 | 202, 6114 |
| 101, 3057 |
∴ So the LCM of the given numbers is 2 x 101 x 3057 = 617514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/617514
Therefore, the GCF of Fractions 7764/202,7408/6114 is 4/617514
Least Common Multiple of 202,6114 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 202,6114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,6114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,6114) x common factors =2 x 1 = 2
LCM(202,6114) = ( 202 × 6114 ) / 2
LCM(202,6114) = 1235028 / 2
LCM(202,6114) = 617514
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FAQs on GCF of Fractions of 7764/202, 7408/6114
1. What is the HCF of 7764,7408?
The HCF of 7764,7408 is 4
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 7764/202, 7408/6114?
Answer: GCF of Numerators as per given numbers 7764/202, 7408/6114 is
GCF of Numerators i.e. for 7764,7408 is 4
LCM of denominators i.e. for 202,6114 is 617514.
Thus, GCF of Fractions is 4/617514.Finally, GCF of Fractions for 7764/202, 7408/6114 is 4/617514.