GCF of 508/23, 381/5642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 508/23, 381/5642 i.e 127/129766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 508/23, 381/5642.
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 508/23,381/5642?
Given fractions are 508/23,381/5642
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 508/23,381/5642, numerators are 508,381
Denominators are 23,5642
The GCF of 508,381 is 127 .
LCM of 23,5642 is 129766.
The greatest common factor of 508/23,381/5642 = [GCF of 508,381]/[LCM of 23,5642]= 127/129766
Therefore, the GCF of 508/23,381/5642 is 127/129766.
To find the highest common factor of 508,381, we have to find the factors of both numbers and list the highest common factor.
The factors of 508 are 1, 2, 4, 127, 254, 508
The factors of 381 are 1, 3, 127, 381
The HCF of 508,381 is 127.
Lets's calculate GCF of 508,381
| 127 | 508, 381 |
| 4, 3 |
∴ So the GCF of the given numbers is 127 = 127
Greatest Common Factor of 508,381 By Matching Biggest Common Factor Method
Now, list down the factors of 508
:1,2,4,127,254,508
Now, list down the factors of 381
:1,3,127,381
Greatest Common Factor
We found the factors 508,381 . The biggest common factor number is the GCF number.
So the greatest common factor 508,381 is 127.
Lets's calculate LCM of 23,5642
Given numbers has no common factors except 1. So, there LCM is their product i.e 129766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 127/129766
Therefore, the GCF of Fractions 508/23,381/5642 is 127/129766
Least Common Multiple of 23,5642 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 23,5642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,5642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,5642) x common factors =1 x 1 = 1
LCM(23,5642) = ( 23 × 5642 ) / 1
LCM(23,5642) = 129766 / 1
LCM(23,5642) = 129766
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FAQs on GCF of Fractions of 508/23, 381/5642
1. What is the HCF of 508,381?
The HCF of 508,381 is 127
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 508/23, 381/5642?
Answer: GCF of Numerators as per given numbers 508/23, 381/5642 is
GCF of Numerators i.e. for 508,381 is 127
LCM of denominators i.e. for 23,5642 is 129766.
Thus, GCF of Fractions is 127/129766.Finally, GCF of Fractions for 508/23, 381/5642 is 127/129766.