GCF of 8627/802, 3674/7130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8627/802, 3674/7130 i.e 1/2859130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8627/802, 3674/7130.
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 8627/802,3674/7130?
Given fractions are 8627/802,3674/7130
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 8627/802,3674/7130, numerators are 8627,3674
Denominators are 802,7130
The GCF of 8627,3674 is 1 .
LCM of 802,7130 is 2859130.
The greatest common factor of 8627/802,3674/7130 = [GCF of 8627,3674]/[LCM of 802,7130]= 1/2859130
Therefore, the GCF of 8627/802,3674/7130 is 1/2859130.
To find the highest common factor of 8627,3674, we have to find the factors of both numbers and list the highest common factor.
The factors of 8627 are 1, 8627
The factors of 3674 are 1, 2, 11, 22, 167, 334, 1837, 3674
The HCF of 8627,3674 is 1.
Lets's calculate GCF of 8627,3674
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8627,3674 By Matching Biggest Common Factor Method
Now, list down the factors of 8627
:1,8627
Now, list down the factors of 3674
:1,2,11,22,167,334,1837,3674
Greatest Common Factor
We found the factors 8627,3674 . The biggest common factor number is the GCF number.
So the greatest common factor 8627,3674 is 1.
Lets's calculate LCM of 802,7130
| 2 | 802, 7130 |
| 401, 3565 |
∴ So the LCM of the given numbers is 2 x 401 x 3565 = 2859130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2859130
Therefore, the GCF of Fractions 8627/802,3674/7130 is 1/2859130
Least Common Multiple of 802,7130 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 802,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,7130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,7130) x common factors =2 x 1 = 2
LCM(802,7130) = ( 802 × 7130 ) / 2
LCM(802,7130) = 5718260 / 2
LCM(802,7130) = 2859130
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FAQs on GCF of Fractions of 8627/802, 3674/7130
1. What is the HCF of 8627,3674?
The HCF of 8627,3674 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 8627/802, 3674/7130?
Answer: GCF of Numerators as per given numbers 8627/802, 3674/7130 is
GCF of Numerators i.e. for 8627,3674 is 1
LCM of denominators i.e. for 802,7130 is 2859130.
Thus, GCF of Fractions is 1/2859130.Finally, GCF of Fractions for 8627/802, 3674/7130 is 1/2859130.