GCF of 3134/630, 2757/860
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3134/630, 2757/860 i.e 1/54180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3134/630, 2757/860.
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 3134/630,2757/860?
Given fractions are 3134/630,2757/860
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 3134/630,2757/860, numerators are 3134,2757
Denominators are 630,860
The GCF of 3134,2757 is 1 .
LCM of 630,860 is 54180.
The greatest common factor of 3134/630,2757/860 = [GCF of 3134,2757]/[LCM of 630,860]= 1/54180
Therefore, the GCF of 3134/630,2757/860 is 1/54180.
To find the highest common factor of 3134,2757, we have to find the factors of both numbers and list the highest common factor.
The factors of 3134 are 1, 2, 1567, 3134
The factors of 2757 are 1, 3, 919, 2757
The HCF of 3134,2757 is 1.
Lets's calculate GCF of 3134,2757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3134,2757 By Matching Biggest Common Factor Method
Now, list down the factors of 3134
:1,2,1567,3134
Now, list down the factors of 2757
:1,3,919,2757
Greatest Common Factor
We found the factors 3134,2757 . The biggest common factor number is the GCF number.
So the greatest common factor 3134,2757 is 1.
Lets's calculate LCM of 630,860
| 2 | 630, 860 |
| 5 | 315, 430 |
| 63, 86 |
∴ So the LCM of the given numbers is 2 x 5 x 63 x 86 = 54180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54180
Therefore, the GCF of Fractions 3134/630,2757/860 is 1/54180
Least Common Multiple of 630,860 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 630,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,860) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(630,860) x common factors =10 x 1 = 10
LCM(630,860) = ( 630 × 860 ) / 10
LCM(630,860) = 541800 / 10
LCM(630,860) = 54180
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FAQs on GCF of Fractions of 3134/630, 2757/860
1. What is the HCF of 3134,2757?
The HCF of 3134,2757 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 3134/630, 2757/860?
Answer: GCF of Numerators as per given numbers 3134/630, 2757/860 is
GCF of Numerators i.e. for 3134,2757 is 1
LCM of denominators i.e. for 630,860 is 54180.
Thus, GCF of Fractions is 1/54180.Finally, GCF of Fractions for 3134/630, 2757/860 is 1/54180.