GCF of 1950/876, 9100/7864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1950/876, 9100/7864 i.e 650/1722216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1950/876, 9100/7864.
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 1950/876,9100/7864?
Given fractions are 1950/876,9100/7864
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 1950/876,9100/7864, numerators are 1950,9100
Denominators are 876,7864
The GCF of 1950,9100 is 650 .
LCM of 876,7864 is 1722216.
The greatest common factor of 1950/876,9100/7864 = [GCF of 1950,9100]/[LCM of 876,7864]= 650/1722216
Therefore, the GCF of 1950/876,9100/7864 is 650/1722216.
To find the highest common factor of 1950,9100, we have to find the factors of both numbers and list the highest common factor.
The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
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 HCF of 1950,9100 is 650.
Lets's calculate GCF of 1950,9100
| 2 | 1950, 9100 |
| 5 | 975, 4550 |
| 5 | 195, 910 |
| 13 | 39, 182 |
| 3, 14 |
∴ So the GCF of the given numbers is 2 x 5 x 5 x 13 = 650
Greatest Common Factor of 1950,9100 By Matching Biggest Common Factor Method
Now, list down the factors of 1950
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
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
Greatest Common Factor
We found the factors 1950,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,9100 is 650.
Lets's calculate LCM of 876,7864
| 2 | 876, 7864 |
| 2 | 438, 3932 |
| 219, 1966 |
∴ So the LCM of the given numbers is 2 x 2 x 219 x 1966 = 1722216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 650/1722216
Therefore, the GCF of Fractions 1950/876,9100/7864 is 650/1722216
Least Common Multiple of 876,7864 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 876,7864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,7864) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(876,7864) x common factors =4 x 1 = 4
LCM(876,7864) = ( 876 × 7864 ) / 4
LCM(876,7864) = 6888864 / 4
LCM(876,7864) = 1722216
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FAQs on GCF of Fractions of 1950/876, 9100/7864
1. What is the HCF of 1950,9100?
The HCF of 1950,9100 is 650
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 1950/876, 9100/7864?
Answer: GCF of Numerators as per given numbers 1950/876, 9100/7864 is
GCF of Numerators i.e. for 1950,9100 is 650
LCM of denominators i.e. for 876,7864 is 1722216.
Thus, GCF of Fractions is 650/1722216.Finally, GCF of Fractions for 1950/876, 9100/7864 is 650/1722216.