GCF of 8178/170, 2685/7942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8178/170, 2685/7942 i.e 3/675070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8178/170, 2685/7942.
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 8178/170,2685/7942?
Given fractions are 8178/170,2685/7942
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 8178/170,2685/7942, numerators are 8178,2685
Denominators are 170,7942
The GCF of 8178,2685 is 3 .
LCM of 170,7942 is 675070.
The greatest common factor of 8178/170,2685/7942 = [GCF of 8178,2685]/[LCM of 170,7942]= 3/675070
Therefore, the GCF of 8178/170,2685/7942 is 3/675070.
To find the highest common factor of 8178,2685, we have to find the factors of both numbers and list the highest common factor.
The factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178
The factors of 2685 are 1, 3, 5, 15, 179, 537, 895, 2685
The HCF of 8178,2685 is 3.
Lets's calculate GCF of 8178,2685
| 3 | 8178, 2685 |
| 2726, 895 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8178,2685 By Matching Biggest Common Factor Method
Now, list down the factors of 8178
:1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178
Now, list down the factors of 2685
:1,3,5,15,179,537,895,2685
Greatest Common Factor
We found the factors 8178,2685 . The biggest common factor number is the GCF number.
So the greatest common factor 8178,2685 is 3.
Lets's calculate LCM of 170,7942
| 2 | 170, 7942 |
| 85, 3971 |
∴ So the LCM of the given numbers is 2 x 85 x 3971 = 675070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/675070
Therefore, the GCF of Fractions 8178/170,2685/7942 is 3/675070
Least Common Multiple of 170,7942 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 170,7942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,7942) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,7942) x common factors =2 x 1 = 2
LCM(170,7942) = ( 170 × 7942 ) / 2
LCM(170,7942) = 1350140 / 2
LCM(170,7942) = 675070
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FAQs on GCF of Fractions of 8178/170, 2685/7942
1. What is the HCF of 8178,2685?
The HCF of 8178,2685 is 3
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 8178/170, 2685/7942?
Answer: GCF of Numerators as per given numbers 8178/170, 2685/7942 is
GCF of Numerators i.e. for 8178,2685 is 3
LCM of denominators i.e. for 170,7942 is 675070.
Thus, GCF of Fractions is 3/675070.Finally, GCF of Fractions for 8178/170, 2685/7942 is 3/675070.