GCF of 4340/738, 6870/9522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4340/738, 6870/9522 i.e 10/390402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4340/738, 6870/9522.
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 4340/738,6870/9522?
Given fractions are 4340/738,6870/9522
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 4340/738,6870/9522, numerators are 4340,6870
Denominators are 738,9522
The GCF of 4340,6870 is 10 .
LCM of 738,9522 is 390402.
The greatest common factor of 4340/738,6870/9522 = [GCF of 4340,6870]/[LCM of 738,9522]= 10/390402
Therefore, the GCF of 4340/738,6870/9522 is 10/390402.
To find the highest common factor of 4340,6870, we have to find the factors of both numbers and list the highest common factor.
The factors of 4340 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170, 4340
The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870
The HCF of 4340,6870 is 10.
Lets's calculate GCF of 4340,6870
| 2 | 4340, 6870 |
| 5 | 2170, 3435 |
| 434, 687 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4340,6870 By Matching Biggest Common Factor Method
Now, list down the factors of 4340
:1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340
Now, list down the factors of 6870
:1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Greatest Common Factor
We found the factors 4340,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 4340,6870 is 10.
Lets's calculate LCM of 738,9522
| 2 | 738, 9522 |
| 3 | 369, 4761 |
| 3 | 123, 1587 |
| 41, 529 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 529 = 390402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/390402
Therefore, the GCF of Fractions 4340/738,6870/9522 is 10/390402
Least Common Multiple of 738,9522 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 738,9522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,9522) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(738,9522) x common factors =18 x 1 = 18
LCM(738,9522) = ( 738 × 9522 ) / 18
LCM(738,9522) = 7027236 / 18
LCM(738,9522) = 390402
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FAQs on GCF of Fractions of 4340/738, 6870/9522
1. What is the HCF of 4340,6870?
The HCF of 4340,6870 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 4340/738, 6870/9522?
Answer: GCF of Numerators as per given numbers 4340/738, 6870/9522 is
GCF of Numerators i.e. for 4340,6870 is 10
LCM of denominators i.e. for 738,9522 is 390402.
Thus, GCF of Fractions is 10/390402.Finally, GCF of Fractions for 4340/738, 6870/9522 is 10/390402.