GCF of 4762/612, 9836/5534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4762/612, 9836/5534 i.e 2/1693404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4762/612, 9836/5534.
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 4762/612,9836/5534?
Given fractions are 4762/612,9836/5534
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 4762/612,9836/5534, numerators are 4762,9836
Denominators are 612,5534
The GCF of 4762,9836 is 2 .
LCM of 612,5534 is 1693404.
The greatest common factor of 4762/612,9836/5534 = [GCF of 4762,9836]/[LCM of 612,5534]= 2/1693404
Therefore, the GCF of 4762/612,9836/5534 is 2/1693404.
To find the highest common factor of 4762,9836, we have to find the factors of both numbers and list the highest common factor.
The factors of 4762 are 1, 2, 2381, 4762
The factors of 9836 are 1, 2, 4, 2459, 4918, 9836
The HCF of 4762,9836 is 2.
Lets's calculate GCF of 4762,9836
| 2 | 4762, 9836 |
| 2381, 4918 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4762,9836 By Matching Biggest Common Factor Method
Now, list down the factors of 4762
:1,2,2381,4762
Now, list down the factors of 9836
:1,2,4,2459,4918,9836
Greatest Common Factor
We found the factors 4762,9836 . The biggest common factor number is the GCF number.
So the greatest common factor 4762,9836 is 2.
Lets's calculate LCM of 612,5534
| 2 | 612, 5534 |
| 306, 2767 |
∴ So the LCM of the given numbers is 2 x 306 x 2767 = 1693404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1693404
Therefore, the GCF of Fractions 4762/612,9836/5534 is 2/1693404
Least Common Multiple of 612,5534 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 612,5534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,5534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(612,5534) x common factors =2 x 1 = 2
LCM(612,5534) = ( 612 × 5534 ) / 2
LCM(612,5534) = 3386808 / 2
LCM(612,5534) = 1693404
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FAQs on GCF of Fractions of 4762/612, 9836/5534
1. What is the HCF of 4762,9836?
The HCF of 4762,9836 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 4762/612, 9836/5534?
Answer: GCF of Numerators as per given numbers 4762/612, 9836/5534 is
GCF of Numerators i.e. for 4762,9836 is 2
LCM of denominators i.e. for 612,5534 is 1693404.
Thus, GCF of Fractions is 2/1693404.Finally, GCF of Fractions for 4762/612, 9836/5534 is 2/1693404.