GCF of 8780/774, 6375/2026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8780/774, 6375/2026 i.e 5/784062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8780/774, 6375/2026.
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 8780/774,6375/2026?
Given fractions are 8780/774,6375/2026
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 8780/774,6375/2026, numerators are 8780,6375
Denominators are 774,2026
The GCF of 8780,6375 is 5 .
LCM of 774,2026 is 784062.
The greatest common factor of 8780/774,6375/2026 = [GCF of 8780,6375]/[LCM of 774,2026]= 5/784062
Therefore, the GCF of 8780/774,6375/2026 is 5/784062.
To find the highest common factor of 8780,6375, we have to find the factors of both numbers and list the highest common factor.
The factors of 8780 are 1, 2, 4, 5, 10, 20, 439, 878, 1756, 2195, 4390, 8780
The factors of 6375 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 125, 255, 375, 425, 1275, 2125, 6375
The HCF of 8780,6375 is 5.
Lets's calculate GCF of 8780,6375
| 5 | 8780, 6375 |
| 1756, 1275 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8780,6375 By Matching Biggest Common Factor Method
Now, list down the factors of 8780
:1,2,4,5,10,20,439,878,1756,2195,4390,8780
Now, list down the factors of 6375
:1,3,5,15,17,25,51,75,85,125,255,375,425,1275,2125,6375
Greatest Common Factor
We found the factors 8780,6375 . The biggest common factor number is the GCF number.
So the greatest common factor 8780,6375 is 5.
Lets's calculate LCM of 774,2026
| 2 | 774, 2026 |
| 387, 1013 |
∴ So the LCM of the given numbers is 2 x 387 x 1013 = 784062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/784062
Therefore, the GCF of Fractions 8780/774,6375/2026 is 5/784062
Least Common Multiple of 774,2026 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 774,2026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,2026) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,2026) x common factors =2 x 1 = 2
LCM(774,2026) = ( 774 × 2026 ) / 2
LCM(774,2026) = 1568124 / 2
LCM(774,2026) = 784062
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FAQs on GCF of Fractions of 8780/774, 6375/2026
1. What is the HCF of 8780,6375?
The HCF of 8780,6375 is 5
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 8780/774, 6375/2026?
Answer: GCF of Numerators as per given numbers 8780/774, 6375/2026 is
GCF of Numerators i.e. for 8780,6375 is 5
LCM of denominators i.e. for 774,2026 is 784062.
Thus, GCF of Fractions is 5/784062.Finally, GCF of Fractions for 8780/774, 6375/2026 is 5/784062.