GCF of 2342/316, 7525/4829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2342/316, 7525/4829 i.e 1/1525964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2342/316, 7525/4829.
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 2342/316,7525/4829?
Given fractions are 2342/316,7525/4829
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 2342/316,7525/4829, numerators are 2342,7525
Denominators are 316,4829
The GCF of 2342,7525 is 1 .
LCM of 316,4829 is 1525964.
The greatest common factor of 2342/316,7525/4829 = [GCF of 2342,7525]/[LCM of 316,4829]= 1/1525964
Therefore, the GCF of 2342/316,7525/4829 is 1/1525964.
To find the highest common factor of 2342,7525, we have to find the factors of both numbers and list the highest common factor.
The factors of 2342 are 1, 2, 1171, 2342
The factors of 7525 are 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525
The HCF of 2342,7525 is 1.
Lets's calculate GCF of 2342,7525
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2342,7525 By Matching Biggest Common Factor Method
Now, list down the factors of 2342
:1,2,1171,2342
Now, list down the factors of 7525
:1,5,7,25,35,43,175,215,301,1075,1505,7525
Greatest Common Factor
We found the factors 2342,7525 . The biggest common factor number is the GCF number.
So the greatest common factor 2342,7525 is 1.
Lets's calculate LCM of 316,4829
Given numbers has no common factors except 1. So, there LCM is their product i.e 1525964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1525964
Therefore, the GCF of Fractions 2342/316,7525/4829 is 1/1525964
Least Common Multiple of 316,4829 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 316,4829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,4829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(316,4829) x common factors =1 x 1 = 1
LCM(316,4829) = ( 316 × 4829 ) / 1
LCM(316,4829) = 1525964 / 1
LCM(316,4829) = 1525964
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FAQs on GCF of Fractions of 2342/316, 7525/4829
1. What is the HCF of 2342,7525?
The HCF of 2342,7525 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 2342/316, 7525/4829?
Answer: GCF of Numerators as per given numbers 2342/316, 7525/4829 is
GCF of Numerators i.e. for 2342,7525 is 1
LCM of denominators i.e. for 316,4829 is 1525964.
Thus, GCF of Fractions is 1/1525964.Finally, GCF of Fractions for 2342/316, 7525/4829 is 1/1525964.