GCF of 3575/717, 2660/7503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3575/717, 2660/7503 i.e 5/1793217 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3575/717, 2660/7503.
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 3575/717,2660/7503?
Given fractions are 3575/717,2660/7503
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 3575/717,2660/7503, numerators are 3575,2660
Denominators are 717,7503
The GCF of 3575,2660 is 5 .
LCM of 717,7503 is 1793217.
The greatest common factor of 3575/717,2660/7503 = [GCF of 3575,2660]/[LCM of 717,7503]= 5/1793217
Therefore, the GCF of 3575/717,2660/7503 is 5/1793217.
To find the highest common factor of 3575,2660, we have to find the factors of both numbers and list the highest common factor.
The factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The HCF of 3575,2660 is 5.
Lets's calculate GCF of 3575,2660
| 5 | 3575, 2660 |
| 715, 532 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3575,2660 By Matching Biggest Common Factor Method
Now, list down the factors of 3575
:1,5,11,13,25,55,65,143,275,325,715,3575
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Greatest Common Factor
We found the factors 3575,2660 . The biggest common factor number is the GCF number.
So the greatest common factor 3575,2660 is 5.
Lets's calculate LCM of 717,7503
| 3 | 717, 7503 |
| 239, 2501 |
∴ So the LCM of the given numbers is 3 x 239 x 2501 = 1793217
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1793217
Therefore, the GCF of Fractions 3575/717,2660/7503 is 5/1793217
Least Common Multiple of 717,7503 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 717,7503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,7503) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(717,7503) x common factors =3 x 1 = 3
LCM(717,7503) = ( 717 × 7503 ) / 3
LCM(717,7503) = 5379651 / 3
LCM(717,7503) = 1793217
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FAQs on GCF of Fractions of 3575/717, 2660/7503
1. What is the HCF of 3575,2660?
The HCF of 3575,2660 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 3575/717, 2660/7503?
Answer: GCF of Numerators as per given numbers 3575/717, 2660/7503 is
GCF of Numerators i.e. for 3575,2660 is 5
LCM of denominators i.e. for 717,7503 is 1793217.
Thus, GCF of Fractions is 5/1793217.Finally, GCF of Fractions for 3575/717, 2660/7503 is 5/1793217.