GCF of 7420/356, 6710/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7420/356, 6710/516 i.e 10/45924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7420/356, 6710/516.
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 7420/356,6710/516?
Given fractions are 7420/356,6710/516
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 7420/356,6710/516, numerators are 7420,6710
Denominators are 356,516
The GCF of 7420,6710 is 10 .
LCM of 356,516 is 45924.
The greatest common factor of 7420/356,6710/516 = [GCF of 7420,6710]/[LCM of 356,516]= 10/45924
Therefore, the GCF of 7420/356,6710/516 is 10/45924.
To find the highest common factor of 7420,6710, we have to find the factors of both numbers and list the highest common factor.
The factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420
The factors of 6710 are 1, 2, 5, 10, 11, 22, 55, 61, 110, 122, 305, 610, 671, 1342, 3355, 6710
The HCF of 7420,6710 is 10.
Lets's calculate GCF of 7420,6710
| 2 | 7420, 6710 |
| 5 | 3710, 3355 |
| 742, 671 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7420,6710 By Matching Biggest Common Factor Method
Now, list down the factors of 7420
:1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420
Now, list down the factors of 6710
:1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710
Greatest Common Factor
We found the factors 7420,6710 . The biggest common factor number is the GCF number.
So the greatest common factor 7420,6710 is 10.
Lets's calculate LCM of 356,516
| 2 | 356, 516 |
| 2 | 178, 258 |
| 89, 129 |
∴ So the LCM of the given numbers is 2 x 2 x 89 x 129 = 45924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/45924
Therefore, the GCF of Fractions 7420/356,6710/516 is 10/45924
Least Common Multiple of 356,516 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 356,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,516) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(356,516) x common factors =4 x 1 = 4
LCM(356,516) = ( 356 × 516 ) / 4
LCM(356,516) = 183696 / 4
LCM(356,516) = 45924
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FAQs on GCF of Fractions of 7420/356, 6710/516
1. What is the HCF of 7420,6710?
The HCF of 7420,6710 is 10
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 7420/356, 6710/516?
Answer: GCF of Numerators as per given numbers 7420/356, 6710/516 is
GCF of Numerators i.e. for 7420,6710 is 10
LCM of denominators i.e. for 356,516 is 45924.
Thus, GCF of Fractions is 10/45924.Finally, GCF of Fractions for 7420/356, 6710/516 is 10/45924.