GCF of 9100/572, 7900/4892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9100/572, 7900/4892 i.e 100/699556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9100/572, 7900/4892.
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 9100/572,7900/4892?
Given fractions are 9100/572,7900/4892
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 9100/572,7900/4892, numerators are 9100,7900
Denominators are 572,4892
The GCF of 9100,7900 is 100 .
LCM of 572,4892 is 699556.
The greatest common factor of 9100/572,7900/4892 = [GCF of 9100,7900]/[LCM of 572,4892]= 100/699556
Therefore, the GCF of 9100/572,7900/4892 is 100/699556.
To find the highest common factor of 9100,7900, we have to find the factors of both numbers and list the highest common factor.
The factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
The factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900
The HCF of 9100,7900 is 100.
Lets's calculate GCF of 9100,7900
| 2 | 9100, 7900 |
| 2 | 4550, 3950 |
| 5 | 2275, 1975 |
| 5 | 455, 395 |
| 91, 79 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 5 = 100
Greatest Common Factor of 9100,7900 By Matching Biggest Common Factor Method
Now, list down the factors of 9100
:1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100
Now, list down the factors of 7900
:1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900
Greatest Common Factor
We found the factors 9100,7900 . The biggest common factor number is the GCF number.
So the greatest common factor 9100,7900 is 100.
Lets's calculate LCM of 572,4892
| 2 | 572, 4892 |
| 2 | 286, 2446 |
| 143, 1223 |
∴ So the LCM of the given numbers is 2 x 2 x 143 x 1223 = 699556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 100/699556
Therefore, the GCF of Fractions 9100/572,7900/4892 is 100/699556
Least Common Multiple of 572,4892 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 572,4892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,4892) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(572,4892) x common factors =4 x 1 = 4
LCM(572,4892) = ( 572 × 4892 ) / 4
LCM(572,4892) = 2798224 / 4
LCM(572,4892) = 699556
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9100/572, 7900/4892
1. What is the HCF of 9100,7900?
The HCF of 9100,7900 is 100
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 9100/572, 7900/4892?
Answer: GCF of Numerators as per given numbers 9100/572, 7900/4892 is
GCF of Numerators i.e. for 9100,7900 is 100
LCM of denominators i.e. for 572,4892 is 699556.
Thus, GCF of Fractions is 100/699556.Finally, GCF of Fractions for 9100/572, 7900/4892 is 100/699556.