GCF of 2137/983, 4260/8897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2137/983, 4260/8897 i.e 1/8745751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2137/983, 4260/8897.
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 2137/983,4260/8897?
Given fractions are 2137/983,4260/8897
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 2137/983,4260/8897, numerators are 2137,4260
Denominators are 983,8897
The GCF of 2137,4260 is 1 .
LCM of 983,8897 is 8745751.
The greatest common factor of 2137/983,4260/8897 = [GCF of 2137,4260]/[LCM of 983,8897]= 1/8745751
Therefore, the GCF of 2137/983,4260/8897 is 1/8745751.
To find the highest common factor of 2137,4260, we have to find the factors of both numbers and list the highest common factor.
The factors of 2137 are 1, 2137
The factors of 4260 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 71, 142, 213, 284, 355, 426, 710, 852, 1065, 1420, 2130, 4260
The HCF of 2137,4260 is 1.
Lets's calculate GCF of 2137,4260
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2137,4260 By Matching Biggest Common Factor Method
Now, list down the factors of 2137
:1,2137
Now, list down the factors of 4260
:1,2,3,4,5,6,10,12,15,20,30,60,71,142,213,284,355,426,710,852,1065,1420,2130,4260
Greatest Common Factor
We found the factors 2137,4260 . The biggest common factor number is the GCF number.
So the greatest common factor 2137,4260 is 1.
Lets's calculate LCM of 983,8897
Given numbers has no common factors except 1. So, there LCM is their product i.e 8745751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8745751
Therefore, the GCF of Fractions 2137/983,4260/8897 is 1/8745751
Least Common Multiple of 983,8897 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 983,8897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,8897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,8897) x common factors =1 x 1 = 1
LCM(983,8897) = ( 983 × 8897 ) / 1
LCM(983,8897) = 8745751 / 1
LCM(983,8897) = 8745751
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FAQs on GCF of Fractions of 2137/983, 4260/8897
1. What is the HCF of 2137,4260?
The HCF of 2137,4260 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 2137/983, 4260/8897?
Answer: GCF of Numerators as per given numbers 2137/983, 4260/8897 is
GCF of Numerators i.e. for 2137,4260 is 1
LCM of denominators i.e. for 983,8897 is 8745751.
Thus, GCF of Fractions is 1/8745751.Finally, GCF of Fractions for 2137/983, 4260/8897 is 1/8745751.