GCF of 7877/655, 2942/7195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7877/655, 2942/7195 i.e 1/942545 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7877/655, 2942/7195.
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 7877/655,2942/7195?
Given fractions are 7877/655,2942/7195
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 7877/655,2942/7195, numerators are 7877,2942
Denominators are 655,7195
The GCF of 7877,2942 is 1 .
LCM of 655,7195 is 942545.
The greatest common factor of 7877/655,2942/7195 = [GCF of 7877,2942]/[LCM of 655,7195]= 1/942545
Therefore, the GCF of 7877/655,2942/7195 is 1/942545.
To find the highest common factor of 7877,2942, we have to find the factors of both numbers and list the highest common factor.
The factors of 7877 are 1, 7877
The factors of 2942 are 1, 2, 1471, 2942
The HCF of 7877,2942 is 1.
Lets's calculate GCF of 7877,2942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7877,2942 By Matching Biggest Common Factor Method
Now, list down the factors of 7877
:1,7877
Now, list down the factors of 2942
:1,2,1471,2942
Greatest Common Factor
We found the factors 7877,2942 . The biggest common factor number is the GCF number.
So the greatest common factor 7877,2942 is 1.
Lets's calculate LCM of 655,7195
| 5 | 655, 7195 |
| 131, 1439 |
∴ So the LCM of the given numbers is 5 x 131 x 1439 = 942545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/942545
Therefore, the GCF of Fractions 7877/655,2942/7195 is 1/942545
Least Common Multiple of 655,7195 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 655,7195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,7195) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(655,7195) x common factors =5 x 1 = 5
LCM(655,7195) = ( 655 × 7195 ) / 5
LCM(655,7195) = 4712725 / 5
LCM(655,7195) = 942545
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FAQs on GCF of Fractions of 7877/655, 2942/7195
1. What is the HCF of 7877,2942?
The HCF of 7877,2942 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 7877/655, 2942/7195?
Answer: GCF of Numerators as per given numbers 7877/655, 2942/7195 is
GCF of Numerators i.e. for 7877,2942 is 1
LCM of denominators i.e. for 655,7195 is 942545.
Thus, GCF of Fractions is 1/942545.Finally, GCF of Fractions for 7877/655, 2942/7195 is 1/942545.