GCF of 4796/257, 8249/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4796/257, 8249/678 i.e 1/174246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4796/257, 8249/678.
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 4796/257,8249/678?
Given fractions are 4796/257,8249/678
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 4796/257,8249/678, numerators are 4796,8249
Denominators are 257,678
The GCF of 4796,8249 is 1 .
LCM of 257,678 is 174246.
The greatest common factor of 4796/257,8249/678 = [GCF of 4796,8249]/[LCM of 257,678]= 1/174246
Therefore, the GCF of 4796/257,8249/678 is 1/174246.
To find the highest common factor of 4796,8249, we have to find the factors of both numbers and list the highest common factor.
The factors of 4796 are 1, 2, 4, 11, 22, 44, 109, 218, 436, 1199, 2398, 4796
The factors of 8249 are 1, 73, 113, 8249
The HCF of 4796,8249 is 1.
Lets's calculate GCF of 4796,8249
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4796,8249 By Matching Biggest Common Factor Method
Now, list down the factors of 4796
:1,2,4,11,22,44,109,218,436,1199,2398,4796
Now, list down the factors of 8249
:1,73,113,8249
Greatest Common Factor
We found the factors 4796,8249 . The biggest common factor number is the GCF number.
So the greatest common factor 4796,8249 is 1.
Lets's calculate LCM of 257,678
Given numbers has no common factors except 1. So, there LCM is their product i.e 174246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174246
Therefore, the GCF of Fractions 4796/257,8249/678 is 1/174246
Least Common Multiple of 257,678 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 257,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,678) x common factors =1 x 1 = 1
LCM(257,678) = ( 257 × 678 ) / 1
LCM(257,678) = 174246 / 1
LCM(257,678) = 174246
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FAQs on GCF of Fractions of 4796/257, 8249/678
1. What is the HCF of 4796,8249?
The HCF of 4796,8249 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 4796/257, 8249/678?
Answer: GCF of Numerators as per given numbers 4796/257, 8249/678 is
GCF of Numerators i.e. for 4796,8249 is 1
LCM of denominators i.e. for 257,678 is 174246.
Thus, GCF of Fractions is 1/174246.Finally, GCF of Fractions for 4796/257, 8249/678 is 1/174246.