GCF of 2425/302, 5502/6001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2425/302, 5502/6001 i.e 1/1812302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2425/302, 5502/6001.
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 2425/302,5502/6001?
Given fractions are 2425/302,5502/6001
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 2425/302,5502/6001, numerators are 2425,5502
Denominators are 302,6001
The GCF of 2425,5502 is 1 .
LCM of 302,6001 is 1812302.
The greatest common factor of 2425/302,5502/6001 = [GCF of 2425,5502]/[LCM of 302,6001]= 1/1812302
Therefore, the GCF of 2425/302,5502/6001 is 1/1812302.
To find the highest common factor of 2425,5502, we have to find the factors of both numbers and list the highest common factor.
The factors of 2425 are 1, 5, 25, 97, 485, 2425
The factors of 5502 are 1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502
The HCF of 2425,5502 is 1.
Lets's calculate GCF of 2425,5502
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2425,5502 By Matching Biggest Common Factor Method
Now, list down the factors of 2425
:1,5,25,97,485,2425
Now, list down the factors of 5502
:1,2,3,6,7,14,21,42,131,262,393,786,917,1834,2751,5502
Greatest Common Factor
We found the factors 2425,5502 . The biggest common factor number is the GCF number.
So the greatest common factor 2425,5502 is 1.
Lets's calculate LCM of 302,6001
Given numbers has no common factors except 1. So, there LCM is their product i.e 1812302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1812302
Therefore, the GCF of Fractions 2425/302,5502/6001 is 1/1812302
Least Common Multiple of 302,6001 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 302,6001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,6001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,6001) x common factors =1 x 1 = 1
LCM(302,6001) = ( 302 × 6001 ) / 1
LCM(302,6001) = 1812302 / 1
LCM(302,6001) = 1812302
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FAQs on GCF of Fractions of 2425/302, 5502/6001
1. What is the HCF of 2425,5502?
The HCF of 2425,5502 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 2425/302, 5502/6001?
Answer: GCF of Numerators as per given numbers 2425/302, 5502/6001 is
GCF of Numerators i.e. for 2425,5502 is 1
LCM of denominators i.e. for 302,6001 is 1812302.
Thus, GCF of Fractions is 1/1812302.Finally, GCF of Fractions for 2425/302, 5502/6001 is 1/1812302.