GCF of 7100/541, 1420/8515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7100/541, 1420/8515 i.e 1420/4606615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7100/541, 1420/8515.
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 7100/541,1420/8515?
Given fractions are 7100/541,1420/8515
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 7100/541,1420/8515, numerators are 7100,1420
Denominators are 541,8515
The GCF of 7100,1420 is 1420 .
LCM of 541,8515 is 4606615.
The greatest common factor of 7100/541,1420/8515 = [GCF of 7100,1420]/[LCM of 541,8515]= 1420/4606615
Therefore, the GCF of 7100/541,1420/8515 is 1420/4606615.
To find the highest common factor of 7100,1420, we have to find the factors of both numbers and list the highest common factor.
The factors of 7100 are 1, 2, 4, 5, 10, 20, 25, 50, 71, 100, 142, 284, 355, 710, 1420, 1775, 3550, 7100
The factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
The HCF of 7100,1420 is 1420.
Lets's calculate GCF of 7100,1420
| 2 | 7100, 1420 |
| 2 | 3550, 710 |
| 5 | 1775, 355 |
| 71 | 71, 355 |
| 1, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 71 = 1420
Greatest Common Factor of 7100,1420 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1420
:1,2,4,5,10,20,71,142,284,355,710,1420
Greatest Common Factor
We found the factors 7100,1420 . The biggest common factor number is the GCF number.
So the greatest common factor 7100,1420 is 1420.
Lets's calculate LCM of 541,8515
Given numbers has no common factors except 1. So, there LCM is their product i.e 4606615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1420/4606615
Therefore, the GCF of Fractions 7100/541,1420/8515 is 1420/4606615
Least Common Multiple of 541,8515 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 541,8515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,8515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,8515) x common factors =1 x 1 = 1
LCM(541,8515) = ( 541 × 8515 ) / 1
LCM(541,8515) = 4606615 / 1
LCM(541,8515) = 4606615
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FAQs on GCF of Fractions of 7100/541, 1420/8515
1. What is the HCF of 7100,1420?
The HCF of 7100,1420 is 1420
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 7100/541, 1420/8515?
Answer: GCF of Numerators as per given numbers 7100/541, 1420/8515 is
GCF of Numerators i.e. for 7100,1420 is 1420
LCM of denominators i.e. for 541,8515 is 4606615.
Thus, GCF of Fractions is 1420/4606615.Finally, GCF of Fractions for 7100/541, 1420/8515 is 1420/4606615.