GCF of 7855/197, 4713/2563
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7855/197, 4713/2563 i.e 1571/504911 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7855/197, 4713/2563.
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 7855/197,4713/2563?
Given fractions are 7855/197,4713/2563
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 7855/197,4713/2563, numerators are 7855,4713
Denominators are 197,2563
The GCF of 7855,4713 is 1571 .
LCM of 197,2563 is 504911.
The greatest common factor of 7855/197,4713/2563 = [GCF of 7855,4713]/[LCM of 197,2563]= 1571/504911
Therefore, the GCF of 7855/197,4713/2563 is 1571/504911.
To find the highest common factor of 7855,4713, we have to find the factors of both numbers and list the highest common factor.
The factors of 7855 are 1, 5, 1571, 7855
The factors of 4713 are 1, 3, 1571, 4713
The HCF of 7855,4713 is 1571.
Lets's calculate GCF of 7855,4713
| 1571 | 7855, 4713 |
| 5, 3 |
∴ So the GCF of the given numbers is 1571 = 1571
Greatest Common Factor of 7855,4713 By Matching Biggest Common Factor Method
Now, list down the factors of 7855
:1,5,1571,7855
Now, list down the factors of 4713
:1,3,1571,4713
Greatest Common Factor
We found the factors 7855,4713 . The biggest common factor number is the GCF number.
So the greatest common factor 7855,4713 is 1571.
Lets's calculate LCM of 197,2563
Given numbers has no common factors except 1. So, there LCM is their product i.e 504911
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1571/504911
Therefore, the GCF of Fractions 7855/197,4713/2563 is 1571/504911
Least Common Multiple of 197,2563 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 197,2563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,2563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,2563) x common factors =1 x 1 = 1
LCM(197,2563) = ( 197 × 2563 ) / 1
LCM(197,2563) = 504911 / 1
LCM(197,2563) = 504911
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FAQs on GCF of Fractions of 7855/197, 4713/2563
1. What is the HCF of 7855,4713?
The HCF of 7855,4713 is 1571
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 7855/197, 4713/2563?
Answer: GCF of Numerators as per given numbers 7855/197, 4713/2563 is
GCF of Numerators i.e. for 7855,4713 is 1571
LCM of denominators i.e. for 197,2563 is 504911.
Thus, GCF of Fractions is 1571/504911.Finally, GCF of Fractions for 7855/197, 4713/2563 is 1571/504911.