GCF of 5878/756, 2702/8154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5878/756, 2702/8154 i.e 2/114156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5878/756, 2702/8154.
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 5878/756,2702/8154?
Given fractions are 5878/756,2702/8154
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 5878/756,2702/8154, numerators are 5878,2702
Denominators are 756,8154
The GCF of 5878,2702 is 2 .
LCM of 756,8154 is 114156.
The greatest common factor of 5878/756,2702/8154 = [GCF of 5878,2702]/[LCM of 756,8154]= 2/114156
Therefore, the GCF of 5878/756,2702/8154 is 2/114156.
To find the highest common factor of 5878,2702, we have to find the factors of both numbers and list the highest common factor.
The factors of 5878 are 1, 2, 2939, 5878
The factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702
The HCF of 5878,2702 is 2.
Lets's calculate GCF of 5878,2702
| 2 | 5878, 2702 |
| 2939, 1351 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5878,2702 By Matching Biggest Common Factor Method
Now, list down the factors of 5878
:1,2,2939,5878
Now, list down the factors of 2702
:1,2,7,14,193,386,1351,2702
Greatest Common Factor
We found the factors 5878,2702 . The biggest common factor number is the GCF number.
So the greatest common factor 5878,2702 is 2.
Lets's calculate LCM of 756,8154
| 2 | 756, 8154 |
| 3 | 378, 4077 |
| 3 | 126, 1359 |
| 3 | 42, 453 |
| 14, 151 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 14 x 151 = 114156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114156
Therefore, the GCF of Fractions 5878/756,2702/8154 is 2/114156
Least Common Multiple of 756,8154 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 756,8154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,8154) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(756,8154) x common factors =54 x 1 = 54
LCM(756,8154) = ( 756 × 8154 ) / 54
LCM(756,8154) = 6164424 / 54
LCM(756,8154) = 114156
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FAQs on GCF of Fractions of 5878/756, 2702/8154
1. What is the HCF of 5878,2702?
The HCF of 5878,2702 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 5878/756, 2702/8154?
Answer: GCF of Numerators as per given numbers 5878/756, 2702/8154 is
GCF of Numerators i.e. for 5878,2702 is 2
LCM of denominators i.e. for 756,8154 is 114156.
Thus, GCF of Fractions is 2/114156.Finally, GCF of Fractions for 5878/756, 2702/8154 is 2/114156.