GCF of 2756/140, 3987/2142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2756/140, 3987/2142 i.e 1/21420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2756/140, 3987/2142.
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 2756/140,3987/2142?
Given fractions are 2756/140,3987/2142
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 2756/140,3987/2142, numerators are 2756,3987
Denominators are 140,2142
The GCF of 2756,3987 is 1 .
LCM of 140,2142 is 21420.
The greatest common factor of 2756/140,3987/2142 = [GCF of 2756,3987]/[LCM of 140,2142]= 1/21420
Therefore, the GCF of 2756/140,3987/2142 is 1/21420.
To find the highest common factor of 2756,3987, we have to find the factors of both numbers and list the highest common factor.
The factors of 2756 are 1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378, 2756
The factors of 3987 are 1, 3, 9, 443, 1329, 3987
The HCF of 2756,3987 is 1.
Lets's calculate GCF of 2756,3987
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2756,3987 By Matching Biggest Common Factor Method
Now, list down the factors of 2756
:1,2,4,13,26,52,53,106,212,689,1378,2756
Now, list down the factors of 3987
:1,3,9,443,1329,3987
Greatest Common Factor
We found the factors 2756,3987 . The biggest common factor number is the GCF number.
So the greatest common factor 2756,3987 is 1.
Lets's calculate LCM of 140,2142
| 2 | 140, 2142 |
| 7 | 70, 1071 |
| 10, 153 |
∴ So the LCM of the given numbers is 2 x 7 x 10 x 153 = 21420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21420
Therefore, the GCF of Fractions 2756/140,3987/2142 is 1/21420
Least Common Multiple of 140,2142 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 140,2142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,2142) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(140,2142) x common factors =14 x 1 = 14
LCM(140,2142) = ( 140 × 2142 ) / 14
LCM(140,2142) = 299880 / 14
LCM(140,2142) = 21420
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FAQs on GCF of Fractions of 2756/140, 3987/2142
1. What is the HCF of 2756,3987?
The HCF of 2756,3987 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 2756/140, 3987/2142?
Answer: GCF of Numerators as per given numbers 2756/140, 3987/2142 is
GCF of Numerators i.e. for 2756,3987 is 1
LCM of denominators i.e. for 140,2142 is 21420.
Thus, GCF of Fractions is 1/21420.Finally, GCF of Fractions for 2756/140, 3987/2142 is 1/21420.