GCF of 6940/472, 1468/152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6940/472, 1468/152 i.e 4/8968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6940/472, 1468/152.
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 6940/472,1468/152?
Given fractions are 6940/472,1468/152
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 6940/472,1468/152, numerators are 6940,1468
Denominators are 472,152
The GCF of 6940,1468 is 4 .
LCM of 472,152 is 8968.
The greatest common factor of 6940/472,1468/152 = [GCF of 6940,1468]/[LCM of 472,152]= 4/8968
Therefore, the GCF of 6940/472,1468/152 is 4/8968.
To find the highest common factor of 6940,1468, we have to find the factors of both numbers and list the highest common factor.
The factors of 6940 are 1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940
The factors of 1468 are 1, 2, 4, 367, 734, 1468
The HCF of 6940,1468 is 4.
Lets's calculate GCF of 6940,1468
| 2 | 6940, 1468 |
| 2 | 3470, 734 |
| 1735, 367 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6940,1468 By Matching Biggest Common Factor Method
Now, list down the factors of 6940
:1,2,4,5,10,20,347,694,1388,1735,3470,6940
Now, list down the factors of 1468
:1,2,4,367,734,1468
Greatest Common Factor
We found the factors 6940,1468 . The biggest common factor number is the GCF number.
So the greatest common factor 6940,1468 is 4.
Lets's calculate LCM of 472,152
| 2 | 472, 152 |
| 2 | 236, 76 |
| 2 | 118, 38 |
| 59, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 19 = 8968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8968
Therefore, the GCF of Fractions 6940/472,1468/152 is 4/8968
Least Common Multiple of 472,152 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 472,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,152) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(472,152) x common factors =8 x 1 = 8
LCM(472,152) = ( 472 × 152 ) / 8
LCM(472,152) = 71744 / 8
LCM(472,152) = 8968
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FAQs on GCF of Fractions of 6940/472, 1468/152
1. What is the HCF of 6940,1468?
The HCF of 6940,1468 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 6940/472, 1468/152?
Answer: GCF of Numerators as per given numbers 6940/472, 1468/152 is
GCF of Numerators i.e. for 6940,1468 is 4
LCM of denominators i.e. for 472,152 is 8968.
Thus, GCF of Fractions is 4/8968.Finally, GCF of Fractions for 6940/472, 1468/152 is 4/8968.