GCF of 2867/756, 3574/6147
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2867/756, 3574/6147 i.e 1/516348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2867/756, 3574/6147.
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 2867/756,3574/6147?
Given fractions are 2867/756,3574/6147
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 2867/756,3574/6147, numerators are 2867,3574
Denominators are 756,6147
The GCF of 2867,3574 is 1 .
LCM of 756,6147 is 516348.
The greatest common factor of 2867/756,3574/6147 = [GCF of 2867,3574]/[LCM of 756,6147]= 1/516348
Therefore, the GCF of 2867/756,3574/6147 is 1/516348.
To find the highest common factor of 2867,3574, we have to find the factors of both numbers and list the highest common factor.
The factors of 2867 are 1, 47, 61, 2867
The factors of 3574 are 1, 2, 1787, 3574
The HCF of 2867,3574 is 1.
Lets's calculate GCF of 2867,3574
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2867,3574 By Matching Biggest Common Factor Method
Now, list down the factors of 2867
:1,47,61,2867
Now, list down the factors of 3574
:1,2,1787,3574
Greatest Common Factor
We found the factors 2867,3574 . The biggest common factor number is the GCF number.
So the greatest common factor 2867,3574 is 1.
Lets's calculate LCM of 756,6147
| 3 | 756, 6147 |
| 3 | 252, 2049 |
| 84, 683 |
∴ So the LCM of the given numbers is 3 x 3 x 84 x 683 = 516348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516348
Therefore, the GCF of Fractions 2867/756,3574/6147 is 1/516348
Least Common Multiple of 756,6147 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 756,6147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,6147) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(756,6147) x common factors =9 x 1 = 9
LCM(756,6147) = ( 756 × 6147 ) / 9
LCM(756,6147) = 4647132 / 9
LCM(756,6147) = 516348
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FAQs on GCF of Fractions of 2867/756, 3574/6147
1. What is the HCF of 2867,3574?
The HCF of 2867,3574 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 2867/756, 3574/6147?
Answer: GCF of Numerators as per given numbers 2867/756, 3574/6147 is
GCF of Numerators i.e. for 2867,3574 is 1
LCM of denominators i.e. for 756,6147 is 516348.
Thus, GCF of Fractions is 1/516348.Finally, GCF of Fractions for 2867/756, 3574/6147 is 1/516348.