GCF of 7157/138, 2579/2890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7157/138, 2579/2890 i.e 1/199410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7157/138, 2579/2890.
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 7157/138,2579/2890?
Given fractions are 7157/138,2579/2890
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 7157/138,2579/2890, numerators are 7157,2579
Denominators are 138,2890
The GCF of 7157,2579 is 1 .
LCM of 138,2890 is 199410.
The greatest common factor of 7157/138,2579/2890 = [GCF of 7157,2579]/[LCM of 138,2890]= 1/199410
Therefore, the GCF of 7157/138,2579/2890 is 1/199410.
To find the highest common factor of 7157,2579, we have to find the factors of both numbers and list the highest common factor.
The factors of 7157 are 1, 17, 421, 7157
The factors of 2579 are 1, 2579
The HCF of 7157,2579 is 1.
Lets's calculate GCF of 7157,2579
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7157,2579 By Matching Biggest Common Factor Method
Now, list down the factors of 7157
:1,17,421,7157
Now, list down the factors of 2579
:1,2579
Greatest Common Factor
We found the factors 7157,2579 . The biggest common factor number is the GCF number.
So the greatest common factor 7157,2579 is 1.
Lets's calculate LCM of 138,2890
| 2 | 138, 2890 |
| 69, 1445 |
∴ So the LCM of the given numbers is 2 x 69 x 1445 = 199410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199410
Therefore, the GCF of Fractions 7157/138,2579/2890 is 1/199410
Least Common Multiple of 138,2890 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 138,2890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,2890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,2890) x common factors =2 x 1 = 2
LCM(138,2890) = ( 138 × 2890 ) / 2
LCM(138,2890) = 398820 / 2
LCM(138,2890) = 199410
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FAQs on GCF of Fractions of 7157/138, 2579/2890
1. What is the HCF of 7157,2579?
The HCF of 7157,2579 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 7157/138, 2579/2890?
Answer: GCF of Numerators as per given numbers 7157/138, 2579/2890 is
GCF of Numerators i.e. for 7157,2579 is 1
LCM of denominators i.e. for 138,2890 is 199410.
Thus, GCF of Fractions is 1/199410.Finally, GCF of Fractions for 7157/138, 2579/2890 is 1/199410.