GCF of 7620/616, 2290/4916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7620/616, 2290/4916 i.e 10/757064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7620/616, 2290/4916.
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 7620/616,2290/4916?
Given fractions are 7620/616,2290/4916
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 7620/616,2290/4916, numerators are 7620,2290
Denominators are 616,4916
The GCF of 7620,2290 is 10 .
LCM of 616,4916 is 757064.
The greatest common factor of 7620/616,2290/4916 = [GCF of 7620,2290]/[LCM of 616,4916]= 10/757064
Therefore, the GCF of 7620/616,2290/4916 is 10/757064.
To find the highest common factor of 7620,2290, we have to find the factors of both numbers and list the highest common factor.
The factors of 7620 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 127, 254, 381, 508, 635, 762, 1270, 1524, 1905, 2540, 3810, 7620
The factors of 2290 are 1, 2, 5, 10, 229, 458, 1145, 2290
The HCF of 7620,2290 is 10.
Lets's calculate GCF of 7620,2290
| 2 | 7620, 2290 |
| 5 | 3810, 1145 |
| 762, 229 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7620,2290 By Matching Biggest Common Factor Method
Now, list down the factors of 7620
:1,2,3,4,5,6,10,12,15,20,30,60,127,254,381,508,635,762,1270,1524,1905,2540,3810,7620
Now, list down the factors of 2290
:1,2,5,10,229,458,1145,2290
Greatest Common Factor
We found the factors 7620,2290 . The biggest common factor number is the GCF number.
So the greatest common factor 7620,2290 is 10.
Lets's calculate LCM of 616,4916
| 2 | 616, 4916 |
| 2 | 308, 2458 |
| 154, 1229 |
∴ So the LCM of the given numbers is 2 x 2 x 154 x 1229 = 757064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/757064
Therefore, the GCF of Fractions 7620/616,2290/4916 is 10/757064
Least Common Multiple of 616,4916 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 616,4916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,4916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(616,4916) x common factors =4 x 1 = 4
LCM(616,4916) = ( 616 × 4916 ) / 4
LCM(616,4916) = 3028256 / 4
LCM(616,4916) = 757064
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FAQs on GCF of Fractions of 7620/616, 2290/4916
1. What is the HCF of 7620,2290?
The HCF of 7620,2290 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 7620/616, 2290/4916?
Answer: GCF of Numerators as per given numbers 7620/616, 2290/4916 is
GCF of Numerators i.e. for 7620,2290 is 10
LCM of denominators i.e. for 616,4916 is 757064.
Thus, GCF of Fractions is 10/757064.Finally, GCF of Fractions for 7620/616, 2290/4916 is 10/757064.