GCF of 4898/374, 9283/6791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4898/374, 9283/6791 i.e 1/2539834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4898/374, 9283/6791.
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 4898/374,9283/6791?
Given fractions are 4898/374,9283/6791
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 4898/374,9283/6791, numerators are 4898,9283
Denominators are 374,6791
The GCF of 4898,9283 is 1 .
LCM of 374,6791 is 2539834.
The greatest common factor of 4898/374,9283/6791 = [GCF of 4898,9283]/[LCM of 374,6791]= 1/2539834
Therefore, the GCF of 4898/374,9283/6791 is 1/2539834.
To find the highest common factor of 4898,9283, 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 9283 are 1, 9283
The HCF of 4898,9283 is 1.
Lets's calculate GCF of 4898,9283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4898,9283 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 9283
:1,9283
Greatest Common Factor
We found the factors 4898,9283 . The biggest common factor number is the GCF number.
So the greatest common factor 4898,9283 is 1.
Lets's calculate LCM of 374,6791
Given numbers has no common factors except 1. So, there LCM is their product i.e 2539834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2539834
Therefore, the GCF of Fractions 4898/374,9283/6791 is 1/2539834
Least Common Multiple of 374,6791 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 374,6791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,6791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(374,6791) x common factors =1 x 1 = 1
LCM(374,6791) = ( 374 × 6791 ) / 1
LCM(374,6791) = 2539834 / 1
LCM(374,6791) = 2539834
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FAQs on GCF of Fractions of 4898/374, 9283/6791
1. What is the HCF of 4898,9283?
The HCF of 4898,9283 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 4898/374, 9283/6791?
Answer: GCF of Numerators as per given numbers 4898/374, 9283/6791 is
GCF of Numerators i.e. for 4898,9283 is 1
LCM of denominators i.e. for 374,6791 is 2539834.
Thus, GCF of Fractions is 1/2539834.Finally, GCF of Fractions for 4898/374, 9283/6791 is 1/2539834.