GCF of 3477/651, 4731/7476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3477/651, 4731/7476 i.e 57/231756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3477/651, 4731/7476.
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 3477/651,4731/7476?
Given fractions are 3477/651,4731/7476
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 3477/651,4731/7476, numerators are 3477,4731
Denominators are 651,7476
The GCF of 3477,4731 is 57 .
LCM of 651,7476 is 231756.
The greatest common factor of 3477/651,4731/7476 = [GCF of 3477,4731]/[LCM of 651,7476]= 57/231756
Therefore, the GCF of 3477/651,4731/7476 is 57/231756.
To find the highest common factor of 3477,4731, we have to find the factors of both numbers and list the highest common factor.
The factors of 3477 are 1, 3, 19, 57, 61, 183, 1159, 3477
The factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731
The HCF of 3477,4731 is 57.
Lets's calculate GCF of 3477,4731
| 3 | 3477, 4731 |
| 19 | 1159, 1577 |
| 61, 83 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 3477,4731 By Matching Biggest Common Factor Method
Now, list down the factors of 3477
:1,3,19,57,61,183,1159,3477
Now, list down the factors of 4731
:1,3,19,57,83,249,1577,4731
Greatest Common Factor
We found the factors 3477,4731 . The biggest common factor number is the GCF number.
So the greatest common factor 3477,4731 is 57.
Lets's calculate LCM of 651,7476
| 3 | 651, 7476 |
| 7 | 217, 2492 |
| 31, 356 |
∴ So the LCM of the given numbers is 3 x 7 x 31 x 356 = 231756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/231756
Therefore, the GCF of Fractions 3477/651,4731/7476 is 57/231756
Least Common Multiple of 651,7476 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 651,7476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,7476) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(651,7476) x common factors =21 x 1 = 21
LCM(651,7476) = ( 651 × 7476 ) / 21
LCM(651,7476) = 4866876 / 21
LCM(651,7476) = 231756
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FAQs on GCF of Fractions of 3477/651, 4731/7476
1. What is the HCF of 3477,4731?
The HCF of 3477,4731 is 57
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 3477/651, 4731/7476?
Answer: GCF of Numerators as per given numbers 3477/651, 4731/7476 is
GCF of Numerators i.e. for 3477,4731 is 57
LCM of denominators i.e. for 651,7476 is 231756.
Thus, GCF of Fractions is 57/231756.Finally, GCF of Fractions for 3477/651, 4731/7476 is 57/231756.