GCF of 8735/370, 8618/5004
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8735/370, 8618/5004 i.e 1/925740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8735/370, 8618/5004.
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 8735/370,8618/5004?
Given fractions are 8735/370,8618/5004
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 8735/370,8618/5004, numerators are 8735,8618
Denominators are 370,5004
The GCF of 8735,8618 is 1 .
LCM of 370,5004 is 925740.
The greatest common factor of 8735/370,8618/5004 = [GCF of 8735,8618]/[LCM of 370,5004]= 1/925740
Therefore, the GCF of 8735/370,8618/5004 is 1/925740.
To find the highest common factor of 8735,8618, we have to find the factors of both numbers and list the highest common factor.
The factors of 8735 are 1, 5, 1747, 8735
The factors of 8618 are 1, 2, 31, 62, 139, 278, 4309, 8618
The HCF of 8735,8618 is 1.
Lets's calculate GCF of 8735,8618
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8735,8618 By Matching Biggest Common Factor Method
Now, list down the factors of 8735
:1,5,1747,8735
Now, list down the factors of 8618
:1,2,31,62,139,278,4309,8618
Greatest Common Factor
We found the factors 8735,8618 . The biggest common factor number is the GCF number.
So the greatest common factor 8735,8618 is 1.
Lets's calculate LCM of 370,5004
| 2 | 370, 5004 |
| 185, 2502 |
∴ So the LCM of the given numbers is 2 x 185 x 2502 = 925740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/925740
Therefore, the GCF of Fractions 8735/370,8618/5004 is 1/925740
Least Common Multiple of 370,5004 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 370,5004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,5004) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,5004) x common factors =2 x 1 = 2
LCM(370,5004) = ( 370 × 5004 ) / 2
LCM(370,5004) = 1851480 / 2
LCM(370,5004) = 925740
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FAQs on GCF of Fractions of 8735/370, 8618/5004
1. What is the HCF of 8735,8618?
The HCF of 8735,8618 is 1
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 8735/370, 8618/5004?
Answer: GCF of Numerators as per given numbers 8735/370, 8618/5004 is
GCF of Numerators i.e. for 8735,8618 is 1
LCM of denominators i.e. for 370,5004 is 925740.
Thus, GCF of Fractions is 1/925740.Finally, GCF of Fractions for 8735/370, 8618/5004 is 1/925740.