GCF of 3875/109, 7715/3470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3875/109, 7715/3470 i.e 5/378230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3875/109, 7715/3470.
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 3875/109,7715/3470?
Given fractions are 3875/109,7715/3470
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 3875/109,7715/3470, numerators are 3875,7715
Denominators are 109,3470
The GCF of 3875,7715 is 5 .
LCM of 109,3470 is 378230.
The greatest common factor of 3875/109,7715/3470 = [GCF of 3875,7715]/[LCM of 109,3470]= 5/378230
Therefore, the GCF of 3875/109,7715/3470 is 5/378230.
To find the highest common factor of 3875,7715, we have to find the factors of both numbers and list the highest common factor.
The factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875
The factors of 7715 are 1, 5, 1543, 7715
The HCF of 3875,7715 is 5.
Lets's calculate GCF of 3875,7715
| 5 | 3875, 7715 |
| 775, 1543 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3875,7715 By Matching Biggest Common Factor Method
Now, list down the factors of 3875
:1,5,25,31,125,155,775,3875
Now, list down the factors of 7715
:1,5,1543,7715
Greatest Common Factor
We found the factors 3875,7715 . The biggest common factor number is the GCF number.
So the greatest common factor 3875,7715 is 5.
Lets's calculate LCM of 109,3470
Given numbers has no common factors except 1. So, there LCM is their product i.e 378230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/378230
Therefore, the GCF of Fractions 3875/109,7715/3470 is 5/378230
Least Common Multiple of 109,3470 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 109,3470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,3470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,3470) x common factors =1 x 1 = 1
LCM(109,3470) = ( 109 × 3470 ) / 1
LCM(109,3470) = 378230 / 1
LCM(109,3470) = 378230
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FAQs on GCF of Fractions of 3875/109, 7715/3470
1. What is the HCF of 3875,7715?
The HCF of 3875,7715 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 3875/109, 7715/3470?
Answer: GCF of Numerators as per given numbers 3875/109, 7715/3470 is
GCF of Numerators i.e. for 3875,7715 is 5
LCM of denominators i.e. for 109,3470 is 378230.
Thus, GCF of Fractions is 5/378230.Finally, GCF of Fractions for 3875/109, 7715/3470 is 5/378230.