GCF of 7100/213, 3625/7779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7100/213, 3625/7779 i.e 25/552309 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7100/213, 3625/7779.
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 7100/213,3625/7779?
Given fractions are 7100/213,3625/7779
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 7100/213,3625/7779, numerators are 7100,3625
Denominators are 213,7779
The GCF of 7100,3625 is 25 .
LCM of 213,7779 is 552309.
The greatest common factor of 7100/213,3625/7779 = [GCF of 7100,3625]/[LCM of 213,7779]= 25/552309
Therefore, the GCF of 7100/213,3625/7779 is 25/552309.
To find the highest common factor of 7100,3625, 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 3625 are 1, 5, 25, 29, 125, 145, 725, 3625
The HCF of 7100,3625 is 25.
Lets's calculate GCF of 7100,3625
| 5 | 7100, 3625 |
| 5 | 1420, 725 |
| 284, 145 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 7100,3625 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 3625
:1,5,25,29,125,145,725,3625
Greatest Common Factor
We found the factors 7100,3625 . The biggest common factor number is the GCF number.
So the greatest common factor 7100,3625 is 25.
Lets's calculate LCM of 213,7779
| 3 | 213, 7779 |
| 71, 2593 |
∴ So the LCM of the given numbers is 3 x 71 x 2593 = 552309
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/552309
Therefore, the GCF of Fractions 7100/213,3625/7779 is 25/552309
Least Common Multiple of 213,7779 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 213,7779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,7779) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,7779) x common factors =3 x 1 = 3
LCM(213,7779) = ( 213 × 7779 ) / 3
LCM(213,7779) = 1656927 / 3
LCM(213,7779) = 552309
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FAQs on GCF of Fractions of 7100/213, 3625/7779
1. What is the HCF of 7100,3625?
The HCF of 7100,3625 is 25
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 7100/213, 3625/7779?
Answer: GCF of Numerators as per given numbers 7100/213, 3625/7779 is
GCF of Numerators i.e. for 7100,3625 is 25
LCM of denominators i.e. for 213,7779 is 552309.
Thus, GCF of Fractions is 25/552309.Finally, GCF of Fractions for 7100/213, 3625/7779 is 25/552309.