GCF of 7330/908, 1470/352
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7330/908, 1470/352 i.e 10/79904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7330/908, 1470/352.
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 7330/908,1470/352?
Given fractions are 7330/908,1470/352
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 7330/908,1470/352, numerators are 7330,1470
Denominators are 908,352
The GCF of 7330,1470 is 10 .
LCM of 908,352 is 79904.
The greatest common factor of 7330/908,1470/352 = [GCF of 7330,1470]/[LCM of 908,352]= 10/79904
Therefore, the GCF of 7330/908,1470/352 is 10/79904.
To find the highest common factor of 7330,1470, we have to find the factors of both numbers and list the highest common factor.
The factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330
The factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
The HCF of 7330,1470 is 10.
Lets's calculate GCF of 7330,1470
| 2 | 7330, 1470 |
| 5 | 3665, 735 |
| 733, 147 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7330,1470 By Matching Biggest Common Factor Method
Now, list down the factors of 7330
:1,2,5,10,733,1466,3665,7330
Now, list down the factors of 1470
:1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470
Greatest Common Factor
We found the factors 7330,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 7330,1470 is 10.
Lets's calculate LCM of 908,352
| 2 | 908, 352 |
| 2 | 454, 176 |
| 227, 88 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 88 = 79904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/79904
Therefore, the GCF of Fractions 7330/908,1470/352 is 10/79904
Least Common Multiple of 908,352 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 908,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,352) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(908,352) x common factors =4 x 1 = 4
LCM(908,352) = ( 908 × 352 ) / 4
LCM(908,352) = 319616 / 4
LCM(908,352) = 79904
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FAQs on GCF of Fractions of 7330/908, 1470/352
1. What is the HCF of 7330,1470?
The HCF of 7330,1470 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 7330/908, 1470/352?
Answer: GCF of Numerators as per given numbers 7330/908, 1470/352 is
GCF of Numerators i.e. for 7330,1470 is 10
LCM of denominators i.e. for 908,352 is 79904.
Thus, GCF of Fractions is 10/79904.Finally, GCF of Fractions for 7330/908, 1470/352 is 10/79904.