GCF of 7915/374, 1565/3867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7915/374, 1565/3867 i.e 5/1446258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7915/374, 1565/3867.
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 7915/374,1565/3867?
Given fractions are 7915/374,1565/3867
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 7915/374,1565/3867, numerators are 7915,1565
Denominators are 374,3867
The GCF of 7915,1565 is 5 .
LCM of 374,3867 is 1446258.
The greatest common factor of 7915/374,1565/3867 = [GCF of 7915,1565]/[LCM of 374,3867]= 5/1446258
Therefore, the GCF of 7915/374,1565/3867 is 5/1446258.
To find the highest common factor of 7915,1565, we have to find the factors of both numbers and list the highest common factor.
The factors of 7915 are 1, 5, 1583, 7915
The factors of 1565 are 1, 5, 313, 1565
The HCF of 7915,1565 is 5.
Lets's calculate GCF of 7915,1565
| 5 | 7915, 1565 |
| 1583, 313 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7915,1565 By Matching Biggest Common Factor Method
Now, list down the factors of 7915
:1,5,1583,7915
Now, list down the factors of 1565
:1,5,313,1565
Greatest Common Factor
We found the factors 7915,1565 . The biggest common factor number is the GCF number.
So the greatest common factor 7915,1565 is 5.
Lets's calculate LCM of 374,3867
Given numbers has no common factors except 1. So, there LCM is their product i.e 1446258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1446258
Therefore, the GCF of Fractions 7915/374,1565/3867 is 5/1446258
Least Common Multiple of 374,3867 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 374,3867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,3867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(374,3867) x common factors =1 x 1 = 1
LCM(374,3867) = ( 374 × 3867 ) / 1
LCM(374,3867) = 1446258 / 1
LCM(374,3867) = 1446258
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FAQs on GCF of Fractions of 7915/374, 1565/3867
1. What is the HCF of 7915,1565?
The HCF of 7915,1565 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 7915/374, 1565/3867?
Answer: GCF of Numerators as per given numbers 7915/374, 1565/3867 is
GCF of Numerators i.e. for 7915,1565 is 5
LCM of denominators i.e. for 374,3867 is 1446258.
Thus, GCF of Fractions is 5/1446258.Finally, GCF of Fractions for 7915/374, 1565/3867 is 5/1446258.