GCF of 4747/312, 1004/5718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4747/312, 1004/5718 i.e 1/297336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4747/312, 1004/5718.
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 4747/312,1004/5718?
Given fractions are 4747/312,1004/5718
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 4747/312,1004/5718, numerators are 4747,1004
Denominators are 312,5718
The GCF of 4747,1004 is 1 .
LCM of 312,5718 is 297336.
The greatest common factor of 4747/312,1004/5718 = [GCF of 4747,1004]/[LCM of 312,5718]= 1/297336
Therefore, the GCF of 4747/312,1004/5718 is 1/297336.
To find the highest common factor of 4747,1004, we have to find the factors of both numbers and list the highest common factor.
The factors of 4747 are 1, 47, 101, 4747
The factors of 1004 are 1, 2, 4, 251, 502, 1004
The HCF of 4747,1004 is 1.
Lets's calculate GCF of 4747,1004
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4747,1004 By Matching Biggest Common Factor Method
Now, list down the factors of 4747
:1,47,101,4747
Now, list down the factors of 1004
:1,2,4,251,502,1004
Greatest Common Factor
We found the factors 4747,1004 . The biggest common factor number is the GCF number.
So the greatest common factor 4747,1004 is 1.
Lets's calculate LCM of 312,5718
| 2 | 312, 5718 |
| 3 | 156, 2859 |
| 52, 953 |
∴ So the LCM of the given numbers is 2 x 3 x 52 x 953 = 297336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297336
Therefore, the GCF of Fractions 4747/312,1004/5718 is 1/297336
Least Common Multiple of 312,5718 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 312,5718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,5718) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(312,5718) x common factors =6 x 1 = 6
LCM(312,5718) = ( 312 × 5718 ) / 6
LCM(312,5718) = 1784016 / 6
LCM(312,5718) = 297336
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FAQs on GCF of Fractions of 4747/312, 1004/5718
1. What is the HCF of 4747,1004?
The HCF of 4747,1004 is 1
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 4747/312, 1004/5718?
Answer: GCF of Numerators as per given numbers 4747/312, 1004/5718 is
GCF of Numerators i.e. for 4747,1004 is 1
LCM of denominators i.e. for 312,5718 is 297336.
Thus, GCF of Fractions is 1/297336.Finally, GCF of Fractions for 4747/312, 1004/5718 is 1/297336.