GCF of 370/925, 8555/988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 370/925, 8555/988 i.e 5/913900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 370/925, 8555/988.
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 370/925,8555/988?
Given fractions are 370/925,8555/988
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 370/925,8555/988, numerators are 370,8555
Denominators are 925,988
The GCF of 370,8555 is 5 .
LCM of 925,988 is 913900.
The greatest common factor of 370/925,8555/988 = [GCF of 370,8555]/[LCM of 925,988]= 5/913900
Therefore, the GCF of 370/925,8555/988 is 5/913900.
To find the highest common factor of 370,8555, we have to find the factors of both numbers and list the highest common factor.
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The factors of 8555 are 1, 5, 29, 59, 145, 295, 1711, 8555
The HCF of 370,8555 is 5.
Lets's calculate GCF of 370,8555
| 5 | 370, 8555 |
| 74, 1711 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 370,8555 By Matching Biggest Common Factor Method
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Now, list down the factors of 8555
:1,5,29,59,145,295,1711,8555
Greatest Common Factor
We found the factors 370,8555 . The biggest common factor number is the GCF number.
So the greatest common factor 370,8555 is 5.
Lets's calculate LCM of 925,988
Given numbers has no common factors except 1. So, there LCM is their product i.e 913900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/913900
Therefore, the GCF of Fractions 370/925,8555/988 is 5/913900
Least Common Multiple of 925,988 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 925,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,988) x common factors =1 x 1 = 1
LCM(925,988) = ( 925 × 988 ) / 1
LCM(925,988) = 913900 / 1
LCM(925,988) = 913900
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FAQs on GCF of Fractions of 370/925, 8555/988
1. What is the HCF of 370,8555?
The HCF of 370,8555 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 370/925, 8555/988?
Answer: GCF of Numerators as per given numbers 370/925, 8555/988 is
GCF of Numerators i.e. for 370,8555 is 5
LCM of denominators i.e. for 925,988 is 913900.
Thus, GCF of Fractions is 5/913900.Finally, GCF of Fractions for 370/925, 8555/988 is 5/913900.