GCF of 4898/621, 6131/1649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4898/621, 6131/1649 i.e 1/1024029 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4898/621, 6131/1649.
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 4898/621,6131/1649?
Given fractions are 4898/621,6131/1649
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 4898/621,6131/1649, numerators are 4898,6131
Denominators are 621,1649
The GCF of 4898,6131 is 1 .
LCM of 621,1649 is 1024029.
The greatest common factor of 4898/621,6131/1649 = [GCF of 4898,6131]/[LCM of 621,1649]= 1/1024029
Therefore, the GCF of 4898/621,6131/1649 is 1/1024029.
To find the highest common factor of 4898,6131, we have to find the factors of both numbers and list the highest common factor.
The factors of 4898 are 1, 2, 31, 62, 79, 158, 2449, 4898
The factors of 6131 are 1, 6131
The HCF of 4898,6131 is 1.
Lets's calculate GCF of 4898,6131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4898,6131 By Matching Biggest Common Factor Method
Now, list down the factors of 4898
:1,2,31,62,79,158,2449,4898
Now, list down the factors of 6131
:1,6131
Greatest Common Factor
We found the factors 4898,6131 . The biggest common factor number is the GCF number.
So the greatest common factor 4898,6131 is 1.
Lets's calculate LCM of 621,1649
Given numbers has no common factors except 1. So, there LCM is their product i.e 1024029
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1024029
Therefore, the GCF of Fractions 4898/621,6131/1649 is 1/1024029
Least Common Multiple of 621,1649 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 621,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,1649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,1649) x common factors =1 x 1 = 1
LCM(621,1649) = ( 621 × 1649 ) / 1
LCM(621,1649) = 1024029 / 1
LCM(621,1649) = 1024029
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FAQs on GCF of Fractions of 4898/621, 6131/1649
1. What is the HCF of 4898,6131?
The HCF of 4898,6131 is 1
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 4898/621, 6131/1649?
Answer: GCF of Numerators as per given numbers 4898/621, 6131/1649 is
GCF of Numerators i.e. for 4898,6131 is 1
LCM of denominators i.e. for 621,1649 is 1024029.
Thus, GCF of Fractions is 1/1024029.Finally, GCF of Fractions for 4898/621, 6131/1649 is 1/1024029.