GCF of 2650/294, 3540/9273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2650/294, 3540/9273 i.e 10/908754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2650/294, 3540/9273.
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 2650/294,3540/9273?
Given fractions are 2650/294,3540/9273
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 2650/294,3540/9273, numerators are 2650,3540
Denominators are 294,9273
The GCF of 2650,3540 is 10 .
LCM of 294,9273 is 908754.
The greatest common factor of 2650/294,3540/9273 = [GCF of 2650,3540]/[LCM of 294,9273]= 10/908754
Therefore, the GCF of 2650/294,3540/9273 is 10/908754.
To find the highest common factor of 2650,3540, we have to find the factors of both numbers and list the highest common factor.
The factors of 2650 are 1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325, 2650
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The HCF of 2650,3540 is 10.
Lets's calculate GCF of 2650,3540
| 2 | 2650, 3540 |
| 5 | 1325, 1770 |
| 265, 354 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2650,3540 By Matching Biggest Common Factor Method
Now, list down the factors of 2650
:1,2,5,10,25,50,53,106,265,530,1325,2650
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Greatest Common Factor
We found the factors 2650,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 2650,3540 is 10.
Lets's calculate LCM of 294,9273
| 3 | 294, 9273 |
| 98, 3091 |
∴ So the LCM of the given numbers is 3 x 98 x 3091 = 908754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/908754
Therefore, the GCF of Fractions 2650/294,3540/9273 is 10/908754
Least Common Multiple of 294,9273 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 294,9273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,9273) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(294,9273) x common factors =3 x 1 = 3
LCM(294,9273) = ( 294 × 9273 ) / 3
LCM(294,9273) = 2726262 / 3
LCM(294,9273) = 908754
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FAQs on GCF of Fractions of 2650/294, 3540/9273
1. What is the HCF of 2650,3540?
The HCF of 2650,3540 is 10
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 2650/294, 3540/9273?
Answer: GCF of Numerators as per given numbers 2650/294, 3540/9273 is
GCF of Numerators i.e. for 2650,3540 is 10
LCM of denominators i.e. for 294,9273 is 908754.
Thus, GCF of Fractions is 10/908754.Finally, GCF of Fractions for 2650/294, 3540/9273 is 10/908754.