GCF of 4394/974, 7050/9310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4394/974, 7050/9310 i.e 2/4533970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4394/974, 7050/9310.
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 4394/974,7050/9310?
Given fractions are 4394/974,7050/9310
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 4394/974,7050/9310, numerators are 4394,7050
Denominators are 974,9310
The GCF of 4394,7050 is 2 .
LCM of 974,9310 is 4533970.
The greatest common factor of 4394/974,7050/9310 = [GCF of 4394,7050]/[LCM of 974,9310]= 2/4533970
Therefore, the GCF of 4394/974,7050/9310 is 2/4533970.
To find the highest common factor of 4394,7050, we have to find the factors of both numbers and list the highest common factor.
The factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394
The factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050
The HCF of 4394,7050 is 2.
Lets's calculate GCF of 4394,7050
| 2 | 4394, 7050 |
| 2197, 3525 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4394,7050 By Matching Biggest Common Factor Method
Now, list down the factors of 4394
:1,2,13,26,169,338,2197,4394
Now, list down the factors of 7050
:1,2,3,5,6,10,15,25,30,47,50,75,94,141,150,235,282,470,705,1175,1410,2350,3525,7050
Greatest Common Factor
We found the factors 4394,7050 . The biggest common factor number is the GCF number.
So the greatest common factor 4394,7050 is 2.
Lets's calculate LCM of 974,9310
| 2 | 974, 9310 |
| 487, 4655 |
∴ So the LCM of the given numbers is 2 x 487 x 4655 = 4533970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4533970
Therefore, the GCF of Fractions 4394/974,7050/9310 is 2/4533970
Least Common Multiple of 974,9310 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 974,9310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,9310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,9310) x common factors =2 x 1 = 2
LCM(974,9310) = ( 974 × 9310 ) / 2
LCM(974,9310) = 9067940 / 2
LCM(974,9310) = 4533970
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FAQs on GCF of Fractions of 4394/974, 7050/9310
1. What is the HCF of 4394,7050?
The HCF of 4394,7050 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 4394/974, 7050/9310?
Answer: GCF of Numerators as per given numbers 4394/974, 7050/9310 is
GCF of Numerators i.e. for 4394,7050 is 2
LCM of denominators i.e. for 974,9310 is 4533970.
Thus, GCF of Fractions is 2/4533970.Finally, GCF of Fractions for 4394/974, 7050/9310 is 2/4533970.