GCF of 3422/304, 7493/5720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3422/304, 7493/5720 i.e 59/217360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3422/304, 7493/5720.
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 3422/304,7493/5720?
Given fractions are 3422/304,7493/5720
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 3422/304,7493/5720, numerators are 3422,7493
Denominators are 304,5720
The GCF of 3422,7493 is 59 .
LCM of 304,5720 is 217360.
The greatest common factor of 3422/304,7493/5720 = [GCF of 3422,7493]/[LCM of 304,5720]= 59/217360
Therefore, the GCF of 3422/304,7493/5720 is 59/217360.
To find the highest common factor of 3422,7493, we have to find the factors of both numbers and list the highest common factor.
The factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422
The factors of 7493 are 1, 59, 127, 7493
The HCF of 3422,7493 is 59.
Lets's calculate GCF of 3422,7493
| 59 | 3422, 7493 |
| 58, 127 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 3422,7493 By Matching Biggest Common Factor Method
Now, list down the factors of 3422
:1,2,29,58,59,118,1711,3422
Now, list down the factors of 7493
:1,59,127,7493
Greatest Common Factor
We found the factors 3422,7493 . The biggest common factor number is the GCF number.
So the greatest common factor 3422,7493 is 59.
Lets's calculate LCM of 304,5720
| 2 | 304, 5720 |
| 2 | 152, 2860 |
| 2 | 76, 1430 |
| 38, 715 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 38 x 715 = 217360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/217360
Therefore, the GCF of Fractions 3422/304,7493/5720 is 59/217360
Least Common Multiple of 304,5720 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 304,5720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,5720) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(304,5720) x common factors =8 x 1 = 8
LCM(304,5720) = ( 304 × 5720 ) / 8
LCM(304,5720) = 1738880 / 8
LCM(304,5720) = 217360
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FAQs on GCF of Fractions of 3422/304, 7493/5720
1. What is the HCF of 3422,7493?
The HCF of 3422,7493 is 59
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 3422/304, 7493/5720?
Answer: GCF of Numerators as per given numbers 3422/304, 7493/5720 is
GCF of Numerators i.e. for 3422,7493 is 59
LCM of denominators i.e. for 304,5720 is 217360.
Thus, GCF of Fractions is 59/217360.Finally, GCF of Fractions for 3422/304, 7493/5720 is 59/217360.