GCF of 9094/540, 7812/9910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9094/540, 7812/9910 i.e 2/535140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9094/540, 7812/9910.
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 9094/540,7812/9910?
Given fractions are 9094/540,7812/9910
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 9094/540,7812/9910, numerators are 9094,7812
Denominators are 540,9910
The GCF of 9094,7812 is 2 .
LCM of 540,9910 is 535140.
The greatest common factor of 9094/540,7812/9910 = [GCF of 9094,7812]/[LCM of 540,9910]= 2/535140
Therefore, the GCF of 9094/540,7812/9910 is 2/535140.
To find the highest common factor of 9094,7812, we have to find the factors of both numbers and list the highest common factor.
The factors of 9094 are 1, 2, 4547, 9094
The factors of 7812 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812
The HCF of 9094,7812 is 2.
Lets's calculate GCF of 9094,7812
| 2 | 9094, 7812 |
| 4547, 3906 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9094,7812 By Matching Biggest Common Factor Method
Now, list down the factors of 9094
:1,2,4547,9094
Now, list down the factors of 7812
:1,2,3,4,6,7,9,12,14,18,21,28,31,36,42,62,63,84,93,124,126,186,217,252,279,372,434,558,651,868,1116,1302,1953,2604,3906,7812
Greatest Common Factor
We found the factors 9094,7812 . The biggest common factor number is the GCF number.
So the greatest common factor 9094,7812 is 2.
Lets's calculate LCM of 540,9910
| 2 | 540, 9910 |
| 5 | 270, 4955 |
| 54, 991 |
∴ So the LCM of the given numbers is 2 x 5 x 54 x 991 = 535140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/535140
Therefore, the GCF of Fractions 9094/540,7812/9910 is 2/535140
Least Common Multiple of 540,9910 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 540,9910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,9910) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(540,9910) x common factors =10 x 1 = 10
LCM(540,9910) = ( 540 × 9910 ) / 10
LCM(540,9910) = 5351400 / 10
LCM(540,9910) = 535140
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9094/540, 7812/9910
1. What is the HCF of 9094,7812?
The HCF of 9094,7812 is 2
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 9094/540, 7812/9910?
Answer: GCF of Numerators as per given numbers 9094/540, 7812/9910 is
GCF of Numerators i.e. for 9094,7812 is 2
LCM of denominators i.e. for 540,9910 is 535140.
Thus, GCF of Fractions is 2/535140.Finally, GCF of Fractions for 9094/540, 7812/9910 is 2/535140.