GCF of 2134/579, 7473/2940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2134/579, 7473/2940 i.e 1/567420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2134/579, 7473/2940.
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 2134/579,7473/2940?
Given fractions are 2134/579,7473/2940
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 2134/579,7473/2940, numerators are 2134,7473
Denominators are 579,2940
The GCF of 2134,7473 is 1 .
LCM of 579,2940 is 567420.
The greatest common factor of 2134/579,7473/2940 = [GCF of 2134,7473]/[LCM of 579,2940]= 1/567420
Therefore, the GCF of 2134/579,7473/2940 is 1/567420.
To find the highest common factor of 2134,7473, we have to find the factors of both numbers and list the highest common factor.
The factors of 2134 are 1, 2, 11, 22, 97, 194, 1067, 2134
The factors of 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473
The HCF of 2134,7473 is 1.
Lets's calculate GCF of 2134,7473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2134,7473 By Matching Biggest Common Factor Method
Now, list down the factors of 2134
:1,2,11,22,97,194,1067,2134
Now, list down the factors of 7473
:1,3,47,53,141,159,2491,7473
Greatest Common Factor
We found the factors 2134,7473 . The biggest common factor number is the GCF number.
So the greatest common factor 2134,7473 is 1.
Lets's calculate LCM of 579,2940
| 3 | 579, 2940 |
| 193, 980 |
∴ So the LCM of the given numbers is 3 x 193 x 980 = 567420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/567420
Therefore, the GCF of Fractions 2134/579,7473/2940 is 1/567420
Least Common Multiple of 579,2940 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 579,2940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,2940) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,2940) x common factors =3 x 1 = 3
LCM(579,2940) = ( 579 × 2940 ) / 3
LCM(579,2940) = 1702260 / 3
LCM(579,2940) = 567420
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FAQs on GCF of Fractions of 2134/579, 7473/2940
1. What is the HCF of 2134,7473?
The HCF of 2134,7473 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 2134/579, 7473/2940?
Answer: GCF of Numerators as per given numbers 2134/579, 7473/2940 is
GCF of Numerators i.e. for 2134,7473 is 1
LCM of denominators i.e. for 579,2940 is 567420.
Thus, GCF of Fractions is 1/567420.Finally, GCF of Fractions for 2134/579, 7473/2940 is 1/567420.