GCF of 1187/291, 4931/2240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1187/291, 4931/2240 i.e 1/651840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1187/291, 4931/2240.
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 1187/291,4931/2240?
Given fractions are 1187/291,4931/2240
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 1187/291,4931/2240, numerators are 1187,4931
Denominators are 291,2240
The GCF of 1187,4931 is 1 .
LCM of 291,2240 is 651840.
The greatest common factor of 1187/291,4931/2240 = [GCF of 1187,4931]/[LCM of 291,2240]= 1/651840
Therefore, the GCF of 1187/291,4931/2240 is 1/651840.
To find the highest common factor of 1187,4931, we have to find the factors of both numbers and list the highest common factor.
The factors of 1187 are 1, 1187
The factors of 4931 are 1, 4931
The HCF of 1187,4931 is 1.
Lets's calculate GCF of 1187,4931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1187,4931 By Matching Biggest Common Factor Method
Now, list down the factors of 1187
:1,1187
Now, list down the factors of 4931
:1,4931
Greatest Common Factor
We found the factors 1187,4931 . The biggest common factor number is the GCF number.
So the greatest common factor 1187,4931 is 1.
Lets's calculate LCM of 291,2240
Given numbers has no common factors except 1. So, there LCM is their product i.e 651840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/651840
Therefore, the GCF of Fractions 1187/291,4931/2240 is 1/651840
Least Common Multiple of 291,2240 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 291,2240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,2240) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,2240) x common factors =1 x 1 = 1
LCM(291,2240) = ( 291 × 2240 ) / 1
LCM(291,2240) = 651840 / 1
LCM(291,2240) = 651840
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FAQs on GCF of Fractions of 1187/291, 4931/2240
1. What is the HCF of 1187,4931?
The HCF of 1187,4931 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 1187/291, 4931/2240?
Answer: GCF of Numerators as per given numbers 1187/291, 4931/2240 is
GCF of Numerators i.e. for 1187,4931 is 1
LCM of denominators i.e. for 291,2240 is 651840.
Thus, GCF of Fractions is 1/651840.Finally, GCF of Fractions for 1187/291, 4931/2240 is 1/651840.