GCF of 3860/625, 4690/7535
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3860/625, 4690/7535 i.e 10/941875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3860/625, 4690/7535.
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 3860/625,4690/7535?
Given fractions are 3860/625,4690/7535
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 3860/625,4690/7535, numerators are 3860,4690
Denominators are 625,7535
The GCF of 3860,4690 is 10 .
LCM of 625,7535 is 941875.
The greatest common factor of 3860/625,4690/7535 = [GCF of 3860,4690]/[LCM of 625,7535]= 10/941875
Therefore, the GCF of 3860/625,4690/7535 is 10/941875.
To find the highest common factor of 3860,4690, we have to find the factors of both numbers and list the highest common factor.
The factors of 3860 are 1, 2, 4, 5, 10, 20, 193, 386, 772, 965, 1930, 3860
The factors of 4690 are 1, 2, 5, 7, 10, 14, 35, 67, 70, 134, 335, 469, 670, 938, 2345, 4690
The HCF of 3860,4690 is 10.
Lets's calculate GCF of 3860,4690
| 2 | 3860, 4690 |
| 5 | 1930, 2345 |
| 386, 469 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3860,4690 By Matching Biggest Common Factor Method
Now, list down the factors of 3860
:1,2,4,5,10,20,193,386,772,965,1930,3860
Now, list down the factors of 4690
:1,2,5,7,10,14,35,67,70,134,335,469,670,938,2345,4690
Greatest Common Factor
We found the factors 3860,4690 . The biggest common factor number is the GCF number.
So the greatest common factor 3860,4690 is 10.
Lets's calculate LCM of 625,7535
| 5 | 625, 7535 |
| 125, 1507 |
∴ So the LCM of the given numbers is 5 x 125 x 1507 = 941875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/941875
Therefore, the GCF of Fractions 3860/625,4690/7535 is 10/941875
Least Common Multiple of 625,7535 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 625,7535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,7535) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(625,7535) x common factors =5 x 1 = 5
LCM(625,7535) = ( 625 × 7535 ) / 5
LCM(625,7535) = 4709375 / 5
LCM(625,7535) = 941875
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FAQs on GCF of Fractions of 3860/625, 4690/7535
1. What is the HCF of 3860,4690?
The HCF of 3860,4690 is 10
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 3860/625, 4690/7535?
Answer: GCF of Numerators as per given numbers 3860/625, 4690/7535 is
GCF of Numerators i.e. for 3860,4690 is 10
LCM of denominators i.e. for 625,7535 is 941875.
Thus, GCF of Fractions is 10/941875.Finally, GCF of Fractions for 3860/625, 4690/7535 is 10/941875.