GCF of 5035/856, 8125/7561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5035/856, 8125/7561 i.e 5/6472216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5035/856, 8125/7561.
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 5035/856,8125/7561?
Given fractions are 5035/856,8125/7561
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 5035/856,8125/7561, numerators are 5035,8125
Denominators are 856,7561
The GCF of 5035,8125 is 5 .
LCM of 856,7561 is 6472216.
The greatest common factor of 5035/856,8125/7561 = [GCF of 5035,8125]/[LCM of 856,7561]= 5/6472216
Therefore, the GCF of 5035/856,8125/7561 is 5/6472216.
To find the highest common factor of 5035,8125, we have to find the factors of both numbers and list the highest common factor.
The factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035
The factors of 8125 are 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125
The HCF of 5035,8125 is 5.
Lets's calculate GCF of 5035,8125
| 5 | 5035, 8125 |
| 1007, 1625 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5035,8125 By Matching Biggest Common Factor Method
Now, list down the factors of 5035
:1,5,19,53,95,265,1007,5035
Now, list down the factors of 8125
:1,5,13,25,65,125,325,625,1625,8125
Greatest Common Factor
We found the factors 5035,8125 . The biggest common factor number is the GCF number.
So the greatest common factor 5035,8125 is 5.
Lets's calculate LCM of 856,7561
Given numbers has no common factors except 1. So, there LCM is their product i.e 6472216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6472216
Therefore, the GCF of Fractions 5035/856,8125/7561 is 5/6472216
Least Common Multiple of 856,7561 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 856,7561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,7561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,7561) x common factors =1 x 1 = 1
LCM(856,7561) = ( 856 × 7561 ) / 1
LCM(856,7561) = 6472216 / 1
LCM(856,7561) = 6472216
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FAQs on GCF of Fractions of 5035/856, 8125/7561
1. What is the HCF of 5035,8125?
The HCF of 5035,8125 is 5
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 5035/856, 8125/7561?
Answer: GCF of Numerators as per given numbers 5035/856, 8125/7561 is
GCF of Numerators i.e. for 5035,8125 is 5
LCM of denominators i.e. for 856,7561 is 6472216.
Thus, GCF of Fractions is 5/6472216.Finally, GCF of Fractions for 5035/856, 8125/7561 is 5/6472216.