GCF of 4134/878, 8134/6504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4134/878, 8134/6504 i.e 2/2855256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4134/878, 8134/6504.
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 4134/878,8134/6504?
Given fractions are 4134/878,8134/6504
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 4134/878,8134/6504, numerators are 4134,8134
Denominators are 878,6504
The GCF of 4134,8134 is 2 .
LCM of 878,6504 is 2855256.
The greatest common factor of 4134/878,8134/6504 = [GCF of 4134,8134]/[LCM of 878,6504]= 2/2855256
Therefore, the GCF of 4134/878,8134/6504 is 2/2855256.
To find the highest common factor of 4134,8134, we have to find the factors of both numbers and list the highest common factor.
The factors of 4134 are 1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134
The factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134
The HCF of 4134,8134 is 2.
Lets's calculate GCF of 4134,8134
| 2 | 4134, 8134 |
| 2067, 4067 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4134,8134 By Matching Biggest Common Factor Method
Now, list down the factors of 4134
:1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134
Now, list down the factors of 8134
:1,2,7,14,49,83,98,166,581,1162,4067,8134
Greatest Common Factor
We found the factors 4134,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 4134,8134 is 2.
Lets's calculate LCM of 878,6504
| 2 | 878, 6504 |
| 439, 3252 |
∴ So the LCM of the given numbers is 2 x 439 x 3252 = 2855256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2855256
Therefore, the GCF of Fractions 4134/878,8134/6504 is 2/2855256
Least Common Multiple of 878,6504 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 878,6504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,6504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,6504) x common factors =2 x 1 = 2
LCM(878,6504) = ( 878 × 6504 ) / 2
LCM(878,6504) = 5710512 / 2
LCM(878,6504) = 2855256
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FAQs on GCF of Fractions of 4134/878, 8134/6504
1. What is the HCF of 4134,8134?
The HCF of 4134,8134 is 2
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 4134/878, 8134/6504?
Answer: GCF of Numerators as per given numbers 4134/878, 8134/6504 is
GCF of Numerators i.e. for 4134,8134 is 2
LCM of denominators i.e. for 878,6504 is 2855256.
Thus, GCF of Fractions is 2/2855256.Finally, GCF of Fractions for 4134/878, 8134/6504 is 2/2855256.