GCF of 4747/558, 4028/5140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4747/558, 4028/5140 i.e 1/1434060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4747/558, 4028/5140.
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 4747/558,4028/5140?
Given fractions are 4747/558,4028/5140
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 4747/558,4028/5140, numerators are 4747,4028
Denominators are 558,5140
The GCF of 4747,4028 is 1 .
LCM of 558,5140 is 1434060.
The greatest common factor of 4747/558,4028/5140 = [GCF of 4747,4028]/[LCM of 558,5140]= 1/1434060
Therefore, the GCF of 4747/558,4028/5140 is 1/1434060.
To find the highest common factor of 4747,4028, 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 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028
The HCF of 4747,4028 is 1.
Lets's calculate GCF of 4747,4028
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4747,4028 By Matching Biggest Common Factor Method
Now, list down the factors of 4747
:1,47,101,4747
Now, list down the factors of 4028
:1,2,4,19,38,53,76,106,212,1007,2014,4028
Greatest Common Factor
We found the factors 4747,4028 . The biggest common factor number is the GCF number.
So the greatest common factor 4747,4028 is 1.
Lets's calculate LCM of 558,5140
| 2 | 558, 5140 |
| 279, 2570 |
∴ So the LCM of the given numbers is 2 x 279 x 2570 = 1434060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1434060
Therefore, the GCF of Fractions 4747/558,4028/5140 is 1/1434060
Least Common Multiple of 558,5140 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 558,5140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(558,5140) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(558,5140) x common factors =2 x 1 = 2
LCM(558,5140) = ( 558 × 5140 ) / 2
LCM(558,5140) = 2868120 / 2
LCM(558,5140) = 1434060
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FAQs on GCF of Fractions of 4747/558, 4028/5140
1. What is the HCF of 4747,4028?
The HCF of 4747,4028 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 4747/558, 4028/5140?
Answer: GCF of Numerators as per given numbers 4747/558, 4028/5140 is
GCF of Numerators i.e. for 4747,4028 is 1
LCM of denominators i.e. for 558,5140 is 1434060.
Thus, GCF of Fractions is 1/1434060.Finally, GCF of Fractions for 4747/558, 4028/5140 is 1/1434060.