GCF of 9474/354, 4778/4750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9474/354, 4778/4750 i.e 2/840750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9474/354, 4778/4750.
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 9474/354,4778/4750?
Given fractions are 9474/354,4778/4750
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 9474/354,4778/4750, numerators are 9474,4778
Denominators are 354,4750
The GCF of 9474,4778 is 2 .
LCM of 354,4750 is 840750.
The greatest common factor of 9474/354,4778/4750 = [GCF of 9474,4778]/[LCM of 354,4750]= 2/840750
Therefore, the GCF of 9474/354,4778/4750 is 2/840750.
To find the highest common factor of 9474,4778, we have to find the factors of both numbers and list the highest common factor.
The factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474
The factors of 4778 are 1, 2, 2389, 4778
The HCF of 9474,4778 is 2.
Lets's calculate GCF of 9474,4778
| 2 | 9474, 4778 |
| 4737, 2389 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9474,4778 By Matching Biggest Common Factor Method
Now, list down the factors of 9474
:1,2,3,6,1579,3158,4737,9474
Now, list down the factors of 4778
:1,2,2389,4778
Greatest Common Factor
We found the factors 9474,4778 . The biggest common factor number is the GCF number.
So the greatest common factor 9474,4778 is 2.
Lets's calculate LCM of 354,4750
| 2 | 354, 4750 |
| 177, 2375 |
∴ So the LCM of the given numbers is 2 x 177 x 2375 = 840750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/840750
Therefore, the GCF of Fractions 9474/354,4778/4750 is 2/840750
Least Common Multiple of 354,4750 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 354,4750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,4750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,4750) x common factors =2 x 1 = 2
LCM(354,4750) = ( 354 × 4750 ) / 2
LCM(354,4750) = 1681500 / 2
LCM(354,4750) = 840750
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FAQs on GCF of Fractions of 9474/354, 4778/4750
1. What is the HCF of 9474,4778?
The HCF of 9474,4778 is 2
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 9474/354, 4778/4750?
Answer: GCF of Numerators as per given numbers 9474/354, 4778/4750 is
GCF of Numerators i.e. for 9474,4778 is 2
LCM of denominators i.e. for 354,4750 is 840750.
Thus, GCF of Fractions is 2/840750.Finally, GCF of Fractions for 9474/354, 4778/4750 is 2/840750.