GCF of 7270/840, 7460/3366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7270/840, 7460/3366 i.e 10/471240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7270/840, 7460/3366.
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 7270/840,7460/3366?
Given fractions are 7270/840,7460/3366
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 7270/840,7460/3366, numerators are 7270,7460
Denominators are 840,3366
The GCF of 7270,7460 is 10 .
LCM of 840,3366 is 471240.
The greatest common factor of 7270/840,7460/3366 = [GCF of 7270,7460]/[LCM of 840,3366]= 10/471240
Therefore, the GCF of 7270/840,7460/3366 is 10/471240.
To find the highest common factor of 7270,7460, we have to find the factors of both numbers and list the highest common factor.
The factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270
The factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460
The HCF of 7270,7460 is 10.
Lets's calculate GCF of 7270,7460
| 2 | 7270, 7460 |
| 5 | 3635, 3730 |
| 727, 746 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7270,7460 By Matching Biggest Common Factor Method
Now, list down the factors of 7270
:1,2,5,10,727,1454,3635,7270
Now, list down the factors of 7460
:1,2,4,5,10,20,373,746,1492,1865,3730,7460
Greatest Common Factor
We found the factors 7270,7460 . The biggest common factor number is the GCF number.
So the greatest common factor 7270,7460 is 10.
Lets's calculate LCM of 840,3366
| 2 | 840, 3366 |
| 3 | 420, 1683 |
| 140, 561 |
∴ So the LCM of the given numbers is 2 x 3 x 140 x 561 = 471240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/471240
Therefore, the GCF of Fractions 7270/840,7460/3366 is 10/471240
Least Common Multiple of 840,3366 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 840,3366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,3366) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(840,3366) x common factors =6 x 1 = 6
LCM(840,3366) = ( 840 × 3366 ) / 6
LCM(840,3366) = 2827440 / 6
LCM(840,3366) = 471240
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FAQs on GCF of Fractions of 7270/840, 7460/3366
1. What is the HCF of 7270,7460?
The HCF of 7270,7460 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 7270/840, 7460/3366?
Answer: GCF of Numerators as per given numbers 7270/840, 7460/3366 is
GCF of Numerators i.e. for 7270,7460 is 10
LCM of denominators i.e. for 840,3366 is 471240.
Thus, GCF of Fractions is 10/471240.Finally, GCF of Fractions for 7270/840, 7460/3366 is 10/471240.