GCF of 3610/272, 9175/7402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3610/272, 9175/7402 i.e 5/1006672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3610/272, 9175/7402.
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 3610/272,9175/7402?
Given fractions are 3610/272,9175/7402
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 3610/272,9175/7402, numerators are 3610,9175
Denominators are 272,7402
The GCF of 3610,9175 is 5 .
LCM of 272,7402 is 1006672.
The greatest common factor of 3610/272,9175/7402 = [GCF of 3610,9175]/[LCM of 272,7402]= 5/1006672
Therefore, the GCF of 3610/272,9175/7402 is 5/1006672.
To find the highest common factor of 3610,9175, we have to find the factors of both numbers and list the highest common factor.
The factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610
The factors of 9175 are 1, 5, 25, 367, 1835, 9175
The HCF of 3610,9175 is 5.
Lets's calculate GCF of 3610,9175
| 5 | 3610, 9175 |
| 722, 1835 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3610,9175 By Matching Biggest Common Factor Method
Now, list down the factors of 3610
:1,2,5,10,19,38,95,190,361,722,1805,3610
Now, list down the factors of 9175
:1,5,25,367,1835,9175
Greatest Common Factor
We found the factors 3610,9175 . The biggest common factor number is the GCF number.
So the greatest common factor 3610,9175 is 5.
Lets's calculate LCM of 272,7402
| 2 | 272, 7402 |
| 136, 3701 |
∴ So the LCM of the given numbers is 2 x 136 x 3701 = 1006672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1006672
Therefore, the GCF of Fractions 3610/272,9175/7402 is 5/1006672
Least Common Multiple of 272,7402 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 272,7402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,7402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,7402) x common factors =2 x 1 = 2
LCM(272,7402) = ( 272 × 7402 ) / 2
LCM(272,7402) = 2013344 / 2
LCM(272,7402) = 1006672
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FAQs on GCF of Fractions of 3610/272, 9175/7402
1. What is the HCF of 3610,9175?
The HCF of 3610,9175 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 3610/272, 9175/7402?
Answer: GCF of Numerators as per given numbers 3610/272, 9175/7402 is
GCF of Numerators i.e. for 3610,9175 is 5
LCM of denominators i.e. for 272,7402 is 1006672.
Thus, GCF of Fractions is 5/1006672.Finally, GCF of Fractions for 3610/272, 9175/7402 is 5/1006672.