GCF of 8225/805, 6125/702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8225/805, 6125/702 i.e 175/565110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8225/805, 6125/702.
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 8225/805,6125/702?
Given fractions are 8225/805,6125/702
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 8225/805,6125/702, numerators are 8225,6125
Denominators are 805,702
The GCF of 8225,6125 is 175 .
LCM of 805,702 is 565110.
The greatest common factor of 8225/805,6125/702 = [GCF of 8225,6125]/[LCM of 805,702]= 175/565110
Therefore, the GCF of 8225/805,6125/702 is 175/565110.
To find the highest common factor of 8225,6125, we have to find the factors of both numbers and list the highest common factor.
The factors of 8225 are 1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225
The factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125
The HCF of 8225,6125 is 175.
Lets's calculate GCF of 8225,6125
| 5 | 8225, 6125 |
| 5 | 1645, 1225 |
| 7 | 329, 245 |
| 47, 35 |
∴ So the GCF of the given numbers is 5 x 5 x 7 = 175
Greatest Common Factor of 8225,6125 By Matching Biggest Common Factor Method
Now, list down the factors of 8225
:1,5,7,25,35,47,175,235,329,1175,1645,8225
Now, list down the factors of 6125
:1,5,7,25,35,49,125,175,245,875,1225,6125
Greatest Common Factor
We found the factors 8225,6125 . The biggest common factor number is the GCF number.
So the greatest common factor 8225,6125 is 175.
Lets's calculate LCM of 805,702
Given numbers has no common factors except 1. So, there LCM is their product i.e 565110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 175/565110
Therefore, the GCF of Fractions 8225/805,6125/702 is 175/565110
Least Common Multiple of 805,702 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 805,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,702) x common factors =1 x 1 = 1
LCM(805,702) = ( 805 × 702 ) / 1
LCM(805,702) = 565110 / 1
LCM(805,702) = 565110
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8225/805, 6125/702
1. What is the HCF of 8225,6125?
The HCF of 8225,6125 is 175
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 8225/805, 6125/702?
Answer: GCF of Numerators as per given numbers 8225/805, 6125/702 is
GCF of Numerators i.e. for 8225,6125 is 175
LCM of denominators i.e. for 805,702 is 565110.
Thus, GCF of Fractions is 175/565110.Finally, GCF of Fractions for 8225/805, 6125/702 is 175/565110.