GCF of 8628/616, 1435/8378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8628/616, 1435/8378 i.e 1/2580424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8628/616, 1435/8378.
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 8628/616,1435/8378?
Given fractions are 8628/616,1435/8378
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 8628/616,1435/8378, numerators are 8628,1435
Denominators are 616,8378
The GCF of 8628,1435 is 1 .
LCM of 616,8378 is 2580424.
The greatest common factor of 8628/616,1435/8378 = [GCF of 8628,1435]/[LCM of 616,8378]= 1/2580424
Therefore, the GCF of 8628/616,1435/8378 is 1/2580424.
To find the highest common factor of 8628,1435, we have to find the factors of both numbers and list the highest common factor.
The factors of 8628 are 1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628
The factors of 1435 are 1, 5, 7, 35, 41, 205, 287, 1435
The HCF of 8628,1435 is 1.
Lets's calculate GCF of 8628,1435
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8628,1435 By Matching Biggest Common Factor Method
Now, list down the factors of 8628
:1,2,3,4,6,12,719,1438,2157,2876,4314,8628
Now, list down the factors of 1435
:1,5,7,35,41,205,287,1435
Greatest Common Factor
We found the factors 8628,1435 . The biggest common factor number is the GCF number.
So the greatest common factor 8628,1435 is 1.
Lets's calculate LCM of 616,8378
| 2 | 616, 8378 |
| 308, 4189 |
∴ So the LCM of the given numbers is 2 x 308 x 4189 = 2580424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2580424
Therefore, the GCF of Fractions 8628/616,1435/8378 is 1/2580424
Least Common Multiple of 616,8378 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 616,8378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,8378) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(616,8378) x common factors =2 x 1 = 2
LCM(616,8378) = ( 616 × 8378 ) / 2
LCM(616,8378) = 5160848 / 2
LCM(616,8378) = 2580424
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FAQs on GCF of Fractions of 8628/616, 1435/8378
1. What is the HCF of 8628,1435?
The HCF of 8628,1435 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 8628/616, 1435/8378?
Answer: GCF of Numerators as per given numbers 8628/616, 1435/8378 is
GCF of Numerators i.e. for 8628,1435 is 1
LCM of denominators i.e. for 616,8378 is 2580424.
Thus, GCF of Fractions is 1/2580424.Finally, GCF of Fractions for 8628/616, 1435/8378 is 1/2580424.