GCF of 5265/610, 6360/8240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5265/610, 6360/8240 i.e 15/502640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5265/610, 6360/8240.
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 5265/610,6360/8240?
Given fractions are 5265/610,6360/8240
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 5265/610,6360/8240, numerators are 5265,6360
Denominators are 610,8240
The GCF of 5265,6360 is 15 .
LCM of 610,8240 is 502640.
The greatest common factor of 5265/610,6360/8240 = [GCF of 5265,6360]/[LCM of 610,8240]= 15/502640
Therefore, the GCF of 5265/610,6360/8240 is 15/502640.
To find the highest common factor of 5265,6360, we have to find the factors of both numbers and list the highest common factor.
The factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265
The factors of 6360 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 53, 60, 106, 120, 159, 212, 265, 318, 424, 530, 636, 795, 1060, 1272, 1590, 2120, 3180, 6360
The HCF of 5265,6360 is 15.
Lets's calculate GCF of 5265,6360
| 3 | 5265, 6360 |
| 5 | 1755, 2120 |
| 351, 424 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5265,6360 By Matching Biggest Common Factor Method
Now, list down the factors of 5265
:1,3,5,9,13,15,27,39,45,65,81,117,135,195,351,405,585,1053,1755,5265
Now, list down the factors of 6360
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360
Greatest Common Factor
We found the factors 5265,6360 . The biggest common factor number is the GCF number.
So the greatest common factor 5265,6360 is 15.
Lets's calculate LCM of 610,8240
| 2 | 610, 8240 |
| 5 | 305, 4120 |
| 61, 824 |
∴ So the LCM of the given numbers is 2 x 5 x 61 x 824 = 502640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/502640
Therefore, the GCF of Fractions 5265/610,6360/8240 is 15/502640
Least Common Multiple of 610,8240 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 610,8240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,8240) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(610,8240) x common factors =10 x 1 = 10
LCM(610,8240) = ( 610 × 8240 ) / 10
LCM(610,8240) = 5026400 / 10
LCM(610,8240) = 502640
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FAQs on GCF of Fractions of 5265/610, 6360/8240
1. What is the HCF of 5265,6360?
The HCF of 5265,6360 is 15
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 5265/610, 6360/8240?
Answer: GCF of Numerators as per given numbers 5265/610, 6360/8240 is
GCF of Numerators i.e. for 5265,6360 is 15
LCM of denominators i.e. for 610,8240 is 502640.
Thus, GCF of Fractions is 15/502640.Finally, GCF of Fractions for 5265/610, 6360/8240 is 15/502640.