GCF of 5128/252, 6042/7854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5128/252, 6042/7854 i.e 2/47124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5128/252, 6042/7854.
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 5128/252,6042/7854?
Given fractions are 5128/252,6042/7854
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 5128/252,6042/7854, numerators are 5128,6042
Denominators are 252,7854
The GCF of 5128,6042 is 2 .
LCM of 252,7854 is 47124.
The greatest common factor of 5128/252,6042/7854 = [GCF of 5128,6042]/[LCM of 252,7854]= 2/47124
Therefore, the GCF of 5128/252,6042/7854 is 2/47124.
To find the highest common factor of 5128,6042, we have to find the factors of both numbers and list the highest common factor.
The factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128
The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042
The HCF of 5128,6042 is 2.
Lets's calculate GCF of 5128,6042
| 2 | 5128, 6042 |
| 2564, 3021 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5128,6042 By Matching Biggest Common Factor Method
Now, list down the factors of 5128
:1,2,4,8,641,1282,2564,5128
Now, list down the factors of 6042
:1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042
Greatest Common Factor
We found the factors 5128,6042 . The biggest common factor number is the GCF number.
So the greatest common factor 5128,6042 is 2.
Lets's calculate LCM of 252,7854
| 2 | 252, 7854 |
| 3 | 126, 3927 |
| 7 | 42, 1309 |
| 6, 187 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 6 x 187 = 47124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47124
Therefore, the GCF of Fractions 5128/252,6042/7854 is 2/47124
Least Common Multiple of 252,7854 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 252,7854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,7854) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(252,7854) x common factors =42 x 1 = 42
LCM(252,7854) = ( 252 × 7854 ) / 42
LCM(252,7854) = 1979208 / 42
LCM(252,7854) = 47124
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FAQs on GCF of Fractions of 5128/252, 6042/7854
1. What is the HCF of 5128,6042?
The HCF of 5128,6042 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 5128/252, 6042/7854?
Answer: GCF of Numerators as per given numbers 5128/252, 6042/7854 is
GCF of Numerators i.e. for 5128,6042 is 2
LCM of denominators i.e. for 252,7854 is 47124.
Thus, GCF of Fractions is 2/47124.Finally, GCF of Fractions for 5128/252, 6042/7854 is 2/47124.