GCF of 4317/747, 3027/1902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4317/747, 3027/1902 i.e 3/473598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4317/747, 3027/1902.
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 4317/747,3027/1902?
Given fractions are 4317/747,3027/1902
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 4317/747,3027/1902, numerators are 4317,3027
Denominators are 747,1902
The GCF of 4317,3027 is 3 .
LCM of 747,1902 is 473598.
The greatest common factor of 4317/747,3027/1902 = [GCF of 4317,3027]/[LCM of 747,1902]= 3/473598
Therefore, the GCF of 4317/747,3027/1902 is 3/473598.
To find the highest common factor of 4317,3027, we have to find the factors of both numbers and list the highest common factor.
The factors of 4317 are 1, 3, 1439, 4317
The factors of 3027 are 1, 3, 1009, 3027
The HCF of 4317,3027 is 3.
Lets's calculate GCF of 4317,3027
| 3 | 4317, 3027 |
| 1439, 1009 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4317,3027 By Matching Biggest Common Factor Method
Now, list down the factors of 4317
:1,3,1439,4317
Now, list down the factors of 3027
:1,3,1009,3027
Greatest Common Factor
We found the factors 4317,3027 . The biggest common factor number is the GCF number.
So the greatest common factor 4317,3027 is 3.
Lets's calculate LCM of 747,1902
| 3 | 747, 1902 |
| 249, 634 |
∴ So the LCM of the given numbers is 3 x 249 x 634 = 473598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/473598
Therefore, the GCF of Fractions 4317/747,3027/1902 is 3/473598
Least Common Multiple of 747,1902 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 747,1902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,1902) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(747,1902) x common factors =3 x 1 = 3
LCM(747,1902) = ( 747 × 1902 ) / 3
LCM(747,1902) = 1420794 / 3
LCM(747,1902) = 473598
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FAQs on GCF of Fractions of 4317/747, 3027/1902
1. What is the HCF of 4317,3027?
The HCF of 4317,3027 is 3
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 4317/747, 3027/1902?
Answer: GCF of Numerators as per given numbers 4317/747, 3027/1902 is
GCF of Numerators i.e. for 4317,3027 is 3
LCM of denominators i.e. for 747,1902 is 473598.
Thus, GCF of Fractions is 3/473598.Finally, GCF of Fractions for 4317/747, 3027/1902 is 3/473598.