GCF of 7853/508, 2874/845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7853/508, 2874/845 i.e 1/429260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7853/508, 2874/845.
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 7853/508,2874/845?
Given fractions are 7853/508,2874/845
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 7853/508,2874/845, numerators are 7853,2874
Denominators are 508,845
The GCF of 7853,2874 is 1 .
LCM of 508,845 is 429260.
The greatest common factor of 7853/508,2874/845 = [GCF of 7853,2874]/[LCM of 508,845]= 1/429260
Therefore, the GCF of 7853/508,2874/845 is 1/429260.
To find the highest common factor of 7853,2874, we have to find the factors of both numbers and list the highest common factor.
The factors of 7853 are 1, 7853
The factors of 2874 are 1, 2, 3, 6, 479, 958, 1437, 2874
The HCF of 7853,2874 is 1.
Lets's calculate GCF of 7853,2874
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7853,2874 By Matching Biggest Common Factor Method
Now, list down the factors of 7853
:1,7853
Now, list down the factors of 2874
:1,2,3,6,479,958,1437,2874
Greatest Common Factor
We found the factors 7853,2874 . The biggest common factor number is the GCF number.
So the greatest common factor 7853,2874 is 1.
Lets's calculate LCM of 508,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 429260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429260
Therefore, the GCF of Fractions 7853/508,2874/845 is 1/429260
Least Common Multiple of 508,845 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 508,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,845) x common factors =1 x 1 = 1
LCM(508,845) = ( 508 × 845 ) / 1
LCM(508,845) = 429260 / 1
LCM(508,845) = 429260
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FAQs on GCF of Fractions of 7853/508, 2874/845
1. What is the HCF of 7853,2874?
The HCF of 7853,2874 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 7853/508, 2874/845?
Answer: GCF of Numerators as per given numbers 7853/508, 2874/845 is
GCF of Numerators i.e. for 7853,2874 is 1
LCM of denominators i.e. for 508,845 is 429260.
Thus, GCF of Fractions is 1/429260.Finally, GCF of Fractions for 7853/508, 2874/845 is 1/429260.