GCF of 8280/245, 6420/5868
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8280/245, 6420/5868 i.e 60/1437660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8280/245, 6420/5868.
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 8280/245,6420/5868?
Given fractions are 8280/245,6420/5868
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 8280/245,6420/5868, numerators are 8280,6420
Denominators are 245,5868
The GCF of 8280,6420 is 60 .
LCM of 245,5868 is 1437660.
The greatest common factor of 8280/245,6420/5868 = [GCF of 8280,6420]/[LCM of 245,5868]= 60/1437660
Therefore, the GCF of 8280/245,6420/5868 is 60/1437660.
To find the highest common factor of 8280,6420, we have to find the factors of both numbers and list the highest common factor.
The factors of 8280 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280
The factors of 6420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 107, 214, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 3210, 6420
The HCF of 8280,6420 is 60.
Lets's calculate GCF of 8280,6420
| 2 | 8280, 6420 |
| 2 | 4140, 3210 |
| 3 | 2070, 1605 |
| 5 | 690, 535 |
| 138, 107 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60
Greatest Common Factor of 8280,6420 By Matching Biggest Common Factor Method
Now, list down the factors of 8280
:1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280
Now, list down the factors of 6420
:1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420
Greatest Common Factor
We found the factors 8280,6420 . The biggest common factor number is the GCF number.
So the greatest common factor 8280,6420 is 60.
Lets's calculate LCM of 245,5868
Given numbers has no common factors except 1. So, there LCM is their product i.e 1437660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/1437660
Therefore, the GCF of Fractions 8280/245,6420/5868 is 60/1437660
Least Common Multiple of 245,5868 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 245,5868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,5868) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,5868) x common factors =1 x 1 = 1
LCM(245,5868) = ( 245 × 5868 ) / 1
LCM(245,5868) = 1437660 / 1
LCM(245,5868) = 1437660
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FAQs on GCF of Fractions of 8280/245, 6420/5868
1. What is the HCF of 8280,6420?
The HCF of 8280,6420 is 60
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 8280/245, 6420/5868?
Answer: GCF of Numerators as per given numbers 8280/245, 6420/5868 is
GCF of Numerators i.e. for 8280,6420 is 60
LCM of denominators i.e. for 245,5868 is 1437660.
Thus, GCF of Fractions is 60/1437660.Finally, GCF of Fractions for 8280/245, 6420/5868 is 60/1437660.