GCF of 8540/307, 7100/7443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8540/307, 7100/7443 i.e 20/2285001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8540/307, 7100/7443.
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 8540/307,7100/7443?
Given fractions are 8540/307,7100/7443
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 8540/307,7100/7443, numerators are 8540,7100
Denominators are 307,7443
The GCF of 8540,7100 is 20 .
LCM of 307,7443 is 2285001.
The greatest common factor of 8540/307,7100/7443 = [GCF of 8540,7100]/[LCM of 307,7443]= 20/2285001
Therefore, the GCF of 8540/307,7100/7443 is 20/2285001.
To find the highest common factor of 8540,7100, we have to find the factors of both numbers and list the highest common factor.
The factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540
The factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100
The HCF of 8540,7100 is 20.
Lets's calculate GCF of 8540,7100
| 2 | 8540, 7100 |
| 2 | 4270, 3550 |
| 5 | 2135, 1775 |
| 427, 355 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 8540,7100 By Matching Biggest Common Factor Method
Now, list down the factors of 8540
:1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Now, list down the factors of 7100
:1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100
Greatest Common Factor
We found the factors 8540,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 8540,7100 is 20.
Lets's calculate LCM of 307,7443
Given numbers has no common factors except 1. So, there LCM is their product i.e 2285001
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/2285001
Therefore, the GCF of Fractions 8540/307,7100/7443 is 20/2285001
Least Common Multiple of 307,7443 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 307,7443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,7443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,7443) x common factors =1 x 1 = 1
LCM(307,7443) = ( 307 × 7443 ) / 1
LCM(307,7443) = 2285001 / 1
LCM(307,7443) = 2285001
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FAQs on GCF of Fractions of 8540/307, 7100/7443
1. What is the HCF of 8540,7100?
The HCF of 8540,7100 is 20
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 8540/307, 7100/7443?
Answer: GCF of Numerators as per given numbers 8540/307, 7100/7443 is
GCF of Numerators i.e. for 8540,7100 is 20
LCM of denominators i.e. for 307,7443 is 2285001.
Thus, GCF of Fractions is 20/2285001.Finally, GCF of Fractions for 8540/307, 7100/7443 is 20/2285001.