GCF of 2140/277, 5847/452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2140/277, 5847/452 i.e 1/125204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2140/277, 5847/452.
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 2140/277,5847/452?
Given fractions are 2140/277,5847/452
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 2140/277,5847/452, numerators are 2140,5847
Denominators are 277,452
The GCF of 2140,5847 is 1 .
LCM of 277,452 is 125204.
The greatest common factor of 2140/277,5847/452 = [GCF of 2140,5847]/[LCM of 277,452]= 1/125204
Therefore, the GCF of 2140/277,5847/452 is 1/125204.
To find the highest common factor of 2140,5847, we have to find the factors of both numbers and list the highest common factor.
The factors of 2140 are 1, 2, 4, 5, 10, 20, 107, 214, 428, 535, 1070, 2140
The factors of 5847 are 1, 3, 1949, 5847
The HCF of 2140,5847 is 1.
Lets's calculate GCF of 2140,5847
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2140,5847 By Matching Biggest Common Factor Method
Now, list down the factors of 2140
:1,2,4,5,10,20,107,214,428,535,1070,2140
Now, list down the factors of 5847
:1,3,1949,5847
Greatest Common Factor
We found the factors 2140,5847 . The biggest common factor number is the GCF number.
So the greatest common factor 2140,5847 is 1.
Lets's calculate LCM of 277,452
Given numbers has no common factors except 1. So, there LCM is their product i.e 125204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125204
Therefore, the GCF of Fractions 2140/277,5847/452 is 1/125204
Least Common Multiple of 277,452 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 277,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,452) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,452) x common factors =1 x 1 = 1
LCM(277,452) = ( 277 × 452 ) / 1
LCM(277,452) = 125204 / 1
LCM(277,452) = 125204
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FAQs on GCF of Fractions of 2140/277, 5847/452
1. What is the HCF of 2140,5847?
The HCF of 2140,5847 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 2140/277, 5847/452?
Answer: GCF of Numerators as per given numbers 2140/277, 5847/452 is
GCF of Numerators i.e. for 2140,5847 is 1
LCM of denominators i.e. for 277,452 is 125204.
Thus, GCF of Fractions is 1/125204.Finally, GCF of Fractions for 2140/277, 5847/452 is 1/125204.