GCF of 4314/768, 4047/2101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4314/768, 4047/2101 i.e 3/1613568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4314/768, 4047/2101.
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 4314/768,4047/2101?
Given fractions are 4314/768,4047/2101
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 4314/768,4047/2101, numerators are 4314,4047
Denominators are 768,2101
The GCF of 4314,4047 is 3 .
LCM of 768,2101 is 1613568.
The greatest common factor of 4314/768,4047/2101 = [GCF of 4314,4047]/[LCM of 768,2101]= 3/1613568
Therefore, the GCF of 4314/768,4047/2101 is 3/1613568.
To find the highest common factor of 4314,4047, we have to find the factors of both numbers and list the highest common factor.
The factors of 4314 are 1, 2, 3, 6, 719, 1438, 2157, 4314
The factors of 4047 are 1, 3, 19, 57, 71, 213, 1349, 4047
The HCF of 4314,4047 is 3.
Lets's calculate GCF of 4314,4047
| 3 | 4314, 4047 |
| 1438, 1349 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4314,4047 By Matching Biggest Common Factor Method
Now, list down the factors of 4314
:1,2,3,6,719,1438,2157,4314
Now, list down the factors of 4047
:1,3,19,57,71,213,1349,4047
Greatest Common Factor
We found the factors 4314,4047 . The biggest common factor number is the GCF number.
So the greatest common factor 4314,4047 is 3.
Lets's calculate LCM of 768,2101
Given numbers has no common factors except 1. So, there LCM is their product i.e 1613568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1613568
Therefore, the GCF of Fractions 4314/768,4047/2101 is 3/1613568
Least Common Multiple of 768,2101 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 768,2101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,2101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,2101) x common factors =1 x 1 = 1
LCM(768,2101) = ( 768 × 2101 ) / 1
LCM(768,2101) = 1613568 / 1
LCM(768,2101) = 1613568
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FAQs on GCF of Fractions of 4314/768, 4047/2101
1. What is the HCF of 4314,4047?
The HCF of 4314,4047 is 3
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 4314/768, 4047/2101?
Answer: GCF of Numerators as per given numbers 4314/768, 4047/2101 is
GCF of Numerators i.e. for 4314,4047 is 3
LCM of denominators i.e. for 768,2101 is 1613568.
Thus, GCF of Fractions is 3/1613568.Finally, GCF of Fractions for 4314/768, 4047/2101 is 3/1613568.