GCF of 4078/716, 4362/2146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4078/716, 4362/2146 i.e 2/768268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4078/716, 4362/2146.
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 4078/716,4362/2146?
Given fractions are 4078/716,4362/2146
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 4078/716,4362/2146, numerators are 4078,4362
Denominators are 716,2146
The GCF of 4078,4362 is 2 .
LCM of 716,2146 is 768268.
The greatest common factor of 4078/716,4362/2146 = [GCF of 4078,4362]/[LCM of 716,2146]= 2/768268
Therefore, the GCF of 4078/716,4362/2146 is 2/768268.
To find the highest common factor of 4078,4362, we have to find the factors of both numbers and list the highest common factor.
The factors of 4078 are 1, 2, 2039, 4078
The factors of 4362 are 1, 2, 3, 6, 727, 1454, 2181, 4362
The HCF of 4078,4362 is 2.
Lets's calculate GCF of 4078,4362
| 2 | 4078, 4362 |
| 2039, 2181 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4078,4362 By Matching Biggest Common Factor Method
Now, list down the factors of 4078
:1,2,2039,4078
Now, list down the factors of 4362
:1,2,3,6,727,1454,2181,4362
Greatest Common Factor
We found the factors 4078,4362 . The biggest common factor number is the GCF number.
So the greatest common factor 4078,4362 is 2.
Lets's calculate LCM of 716,2146
| 2 | 716, 2146 |
| 358, 1073 |
∴ So the LCM of the given numbers is 2 x 358 x 1073 = 768268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/768268
Therefore, the GCF of Fractions 4078/716,4362/2146 is 2/768268
Least Common Multiple of 716,2146 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 716,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,2146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,2146) x common factors =2 x 1 = 2
LCM(716,2146) = ( 716 × 2146 ) / 2
LCM(716,2146) = 1536536 / 2
LCM(716,2146) = 768268
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FAQs on GCF of Fractions of 4078/716, 4362/2146
1. What is the HCF of 4078,4362?
The HCF of 4078,4362 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 4078/716, 4362/2146?
Answer: GCF of Numerators as per given numbers 4078/716, 4362/2146 is
GCF of Numerators i.e. for 4078,4362 is 2
LCM of denominators i.e. for 716,2146 is 768268.
Thus, GCF of Fractions is 2/768268.Finally, GCF of Fractions for 4078/716, 4362/2146 is 2/768268.