GCF of 3077/330, 6716/348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3077/330, 6716/348 i.e 1/19140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3077/330, 6716/348.
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 3077/330,6716/348?
Given fractions are 3077/330,6716/348
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 3077/330,6716/348, numerators are 3077,6716
Denominators are 330,348
The GCF of 3077,6716 is 1 .
LCM of 330,348 is 19140.
The greatest common factor of 3077/330,6716/348 = [GCF of 3077,6716]/[LCM of 330,348]= 1/19140
Therefore, the GCF of 3077/330,6716/348 is 1/19140.
To find the highest common factor of 3077,6716, we have to find the factors of both numbers and list the highest common factor.
The factors of 3077 are 1, 17, 181, 3077
The factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716
The HCF of 3077,6716 is 1.
Lets's calculate GCF of 3077,6716
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3077,6716 By Matching Biggest Common Factor Method
Now, list down the factors of 3077
:1,17,181,3077
Now, list down the factors of 6716
:1,2,4,23,46,73,92,146,292,1679,3358,6716
Greatest Common Factor
We found the factors 3077,6716 . The biggest common factor number is the GCF number.
So the greatest common factor 3077,6716 is 1.
Lets's calculate LCM of 330,348
| 2 | 330, 348 |
| 3 | 165, 174 |
| 55, 58 |
∴ So the LCM of the given numbers is 2 x 3 x 55 x 58 = 19140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19140
Therefore, the GCF of Fractions 3077/330,6716/348 is 1/19140
Least Common Multiple of 330,348 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 330,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,348) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(330,348) x common factors =6 x 1 = 6
LCM(330,348) = ( 330 × 348 ) / 6
LCM(330,348) = 114840 / 6
LCM(330,348) = 19140
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FAQs on GCF of Fractions of 3077/330, 6716/348
1. What is the HCF of 3077,6716?
The HCF of 3077,6716 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 3077/330, 6716/348?
Answer: GCF of Numerators as per given numbers 3077/330, 6716/348 is
GCF of Numerators i.e. for 3077,6716 is 1
LCM of denominators i.e. for 330,348 is 19140.
Thus, GCF of Fractions is 1/19140.Finally, GCF of Fractions for 3077/330, 6716/348 is 1/19140.