GCF of 7460/170, 7478/7416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7460/170, 7478/7416 i.e 2/630360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7460/170, 7478/7416.
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 7460/170,7478/7416?
Given fractions are 7460/170,7478/7416
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 7460/170,7478/7416, numerators are 7460,7478
Denominators are 170,7416
The GCF of 7460,7478 is 2 .
LCM of 170,7416 is 630360.
The greatest common factor of 7460/170,7478/7416 = [GCF of 7460,7478]/[LCM of 170,7416]= 2/630360
Therefore, the GCF of 7460/170,7478/7416 is 2/630360.
To find the highest common factor of 7460,7478, we have to find the factors of both numbers and list the highest common factor.
The factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460
The factors of 7478 are 1, 2, 3739, 7478
The HCF of 7460,7478 is 2.
Lets's calculate GCF of 7460,7478
| 2 | 7460, 7478 |
| 3730, 3739 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7460,7478 By Matching Biggest Common Factor Method
Now, list down the factors of 7460
:1,2,4,5,10,20,373,746,1492,1865,3730,7460
Now, list down the factors of 7478
:1,2,3739,7478
Greatest Common Factor
We found the factors 7460,7478 . The biggest common factor number is the GCF number.
So the greatest common factor 7460,7478 is 2.
Lets's calculate LCM of 170,7416
| 2 | 170, 7416 |
| 85, 3708 |
∴ So the LCM of the given numbers is 2 x 85 x 3708 = 630360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/630360
Therefore, the GCF of Fractions 7460/170,7478/7416 is 2/630360
Least Common Multiple of 170,7416 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 170,7416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,7416) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,7416) x common factors =2 x 1 = 2
LCM(170,7416) = ( 170 × 7416 ) / 2
LCM(170,7416) = 1260720 / 2
LCM(170,7416) = 630360
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FAQs on GCF of Fractions of 7460/170, 7478/7416
1. What is the HCF of 7460,7478?
The HCF of 7460,7478 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 7460/170, 7478/7416?
Answer: GCF of Numerators as per given numbers 7460/170, 7478/7416 is
GCF of Numerators i.e. for 7460,7478 is 2
LCM of denominators i.e. for 170,7416 is 630360.
Thus, GCF of Fractions is 2/630360.Finally, GCF of Fractions for 7460/170, 7478/7416 is 2/630360.