GCF of 4280/771, 8408/8718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4280/771, 8408/8718 i.e 8/2240526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4280/771, 8408/8718.
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 4280/771,8408/8718?
Given fractions are 4280/771,8408/8718
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 4280/771,8408/8718, numerators are 4280,8408
Denominators are 771,8718
The GCF of 4280,8408 is 8 .
LCM of 771,8718 is 2240526.
The greatest common factor of 4280/771,8408/8718 = [GCF of 4280,8408]/[LCM of 771,8718]= 8/2240526
Therefore, the GCF of 4280/771,8408/8718 is 8/2240526.
To find the highest common factor of 4280,8408, we have to find the factors of both numbers and list the highest common factor.
The factors of 4280 are 1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280
The factors of 8408 are 1, 2, 4, 8, 1051, 2102, 4204, 8408
The HCF of 4280,8408 is 8.
Lets's calculate GCF of 4280,8408
| 2 | 4280, 8408 |
| 2 | 2140, 4204 |
| 2 | 1070, 2102 |
| 535, 1051 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4280,8408 By Matching Biggest Common Factor Method
Now, list down the factors of 4280
:1,2,4,5,8,10,20,40,107,214,428,535,856,1070,2140,4280
Now, list down the factors of 8408
:1,2,4,8,1051,2102,4204,8408
Greatest Common Factor
We found the factors 4280,8408 . The biggest common factor number is the GCF number.
So the greatest common factor 4280,8408 is 8.
Lets's calculate LCM of 771,8718
| 3 | 771, 8718 |
| 257, 2906 |
∴ So the LCM of the given numbers is 3 x 257 x 2906 = 2240526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2240526
Therefore, the GCF of Fractions 4280/771,8408/8718 is 8/2240526
Least Common Multiple of 771,8718 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 771,8718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,8718) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(771,8718) x common factors =3 x 1 = 3
LCM(771,8718) = ( 771 × 8718 ) / 3
LCM(771,8718) = 6721578 / 3
LCM(771,8718) = 2240526
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4280/771, 8408/8718
1. What is the HCF of 4280,8408?
The HCF of 4280,8408 is 8
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 4280/771, 8408/8718?
Answer: GCF of Numerators as per given numbers 4280/771, 8408/8718 is
GCF of Numerators i.e. for 4280,8408 is 8
LCM of denominators i.e. for 771,8718 is 2240526.
Thus, GCF of Fractions is 8/2240526.Finally, GCF of Fractions for 4280/771, 8408/8718 is 8/2240526.