GCF of 7432/790, 2908/346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7432/790, 2908/346 i.e 4/136670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7432/790, 2908/346.
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 7432/790,2908/346?
Given fractions are 7432/790,2908/346
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 7432/790,2908/346, numerators are 7432,2908
Denominators are 790,346
The GCF of 7432,2908 is 4 .
LCM of 790,346 is 136670.
The greatest common factor of 7432/790,2908/346 = [GCF of 7432,2908]/[LCM of 790,346]= 4/136670
Therefore, the GCF of 7432/790,2908/346 is 4/136670.
To find the highest common factor of 7432,2908, we have to find the factors of both numbers and list the highest common factor.
The factors of 7432 are 1, 2, 4, 8, 929, 1858, 3716, 7432
The factors of 2908 are 1, 2, 4, 727, 1454, 2908
The HCF of 7432,2908 is 4.
Lets's calculate GCF of 7432,2908
| 2 | 7432, 2908 |
| 2 | 3716, 1454 |
| 1858, 727 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7432,2908 By Matching Biggest Common Factor Method
Now, list down the factors of 7432
:1,2,4,8,929,1858,3716,7432
Now, list down the factors of 2908
:1,2,4,727,1454,2908
Greatest Common Factor
We found the factors 7432,2908 . The biggest common factor number is the GCF number.
So the greatest common factor 7432,2908 is 4.
Lets's calculate LCM of 790,346
| 2 | 790, 346 |
| 395, 173 |
∴ So the LCM of the given numbers is 2 x 395 x 173 = 136670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/136670
Therefore, the GCF of Fractions 7432/790,2908/346 is 4/136670
Least Common Multiple of 790,346 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 790,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,346) x common factors =2 x 1 = 2
LCM(790,346) = ( 790 × 346 ) / 2
LCM(790,346) = 273340 / 2
LCM(790,346) = 136670
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FAQs on GCF of Fractions of 7432/790, 2908/346
1. What is the HCF of 7432,2908?
The HCF of 7432,2908 is 4
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 7432/790, 2908/346?
Answer: GCF of Numerators as per given numbers 7432/790, 2908/346 is
GCF of Numerators i.e. for 7432,2908 is 4
LCM of denominators i.e. for 790,346 is 136670.
Thus, GCF of Fractions is 4/136670.Finally, GCF of Fractions for 7432/790, 2908/346 is 4/136670.