GCF of 9475/220, 3650/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9475/220, 3650/310 i.e 25/6820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9475/220, 3650/310.
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 9475/220,3650/310?
Given fractions are 9475/220,3650/310
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 9475/220,3650/310, numerators are 9475,3650
Denominators are 220,310
The GCF of 9475,3650 is 25 .
LCM of 220,310 is 6820.
The greatest common factor of 9475/220,3650/310 = [GCF of 9475,3650]/[LCM of 220,310]= 25/6820
Therefore, the GCF of 9475/220,3650/310 is 25/6820.
To find the highest common factor of 9475,3650, we have to find the factors of both numbers and list the highest common factor.
The factors of 9475 are 1, 5, 25, 379, 1895, 9475
The factors of 3650 are 1, 2, 5, 10, 25, 50, 73, 146, 365, 730, 1825, 3650
The HCF of 9475,3650 is 25.
Lets's calculate GCF of 9475,3650
| 5 | 9475, 3650 |
| 5 | 1895, 730 |
| 379, 146 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 9475,3650 By Matching Biggest Common Factor Method
Now, list down the factors of 9475
:1,5,25,379,1895,9475
Now, list down the factors of 3650
:1,2,5,10,25,50,73,146,365,730,1825,3650
Greatest Common Factor
We found the factors 9475,3650 . The biggest common factor number is the GCF number.
So the greatest common factor 9475,3650 is 25.
Lets's calculate LCM of 220,310
| 2 | 220, 310 |
| 5 | 110, 155 |
| 22, 31 |
∴ So the LCM of the given numbers is 2 x 5 x 22 x 31 = 6820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/6820
Therefore, the GCF of Fractions 9475/220,3650/310 is 25/6820
Least Common Multiple of 220,310 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 220,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,310) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(220,310) x common factors =10 x 1 = 10
LCM(220,310) = ( 220 × 310 ) / 10
LCM(220,310) = 68200 / 10
LCM(220,310) = 6820
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FAQs on GCF of Fractions of 9475/220, 3650/310
1. What is the HCF of 9475,3650?
The HCF of 9475,3650 is 25
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 9475/220, 3650/310?
Answer: GCF of Numerators as per given numbers 9475/220, 3650/310 is
GCF of Numerators i.e. for 9475,3650 is 25
LCM of denominators i.e. for 220,310 is 6820.
Thus, GCF of Fractions is 25/6820.Finally, GCF of Fractions for 9475/220, 3650/310 is 25/6820.