GCF of 3149/768, 2607/6220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3149/768, 2607/6220 i.e 1/1194240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3149/768, 2607/6220.
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 3149/768,2607/6220?
Given fractions are 3149/768,2607/6220
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 3149/768,2607/6220, numerators are 3149,2607
Denominators are 768,6220
The GCF of 3149,2607 is 1 .
LCM of 768,6220 is 1194240.
The greatest common factor of 3149/768,2607/6220 = [GCF of 3149,2607]/[LCM of 768,6220]= 1/1194240
Therefore, the GCF of 3149/768,2607/6220 is 1/1194240.
To find the highest common factor of 3149,2607, we have to find the factors of both numbers and list the highest common factor.
The factors of 3149 are 1, 47, 67, 3149
The factors of 2607 are 1, 3, 11, 33, 79, 237, 869, 2607
The HCF of 3149,2607 is 1.
Lets's calculate GCF of 3149,2607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3149,2607 By Matching Biggest Common Factor Method
Now, list down the factors of 3149
:1,47,67,3149
Now, list down the factors of 2607
:1,3,11,33,79,237,869,2607
Greatest Common Factor
We found the factors 3149,2607 . The biggest common factor number is the GCF number.
So the greatest common factor 3149,2607 is 1.
Lets's calculate LCM of 768,6220
| 2 | 768, 6220 |
| 2 | 384, 3110 |
| 192, 1555 |
∴ So the LCM of the given numbers is 2 x 2 x 192 x 1555 = 1194240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1194240
Therefore, the GCF of Fractions 3149/768,2607/6220 is 1/1194240
Least Common Multiple of 768,6220 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 768,6220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,6220) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(768,6220) x common factors =4 x 1 = 4
LCM(768,6220) = ( 768 × 6220 ) / 4
LCM(768,6220) = 4776960 / 4
LCM(768,6220) = 1194240
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FAQs on GCF of Fractions of 3149/768, 2607/6220
1. What is the HCF of 3149,2607?
The HCF of 3149,2607 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 3149/768, 2607/6220?
Answer: GCF of Numerators as per given numbers 3149/768, 2607/6220 is
GCF of Numerators i.e. for 3149,2607 is 1
LCM of denominators i.e. for 768,6220 is 1194240.
Thus, GCF of Fractions is 1/1194240.Finally, GCF of Fractions for 3149/768, 2607/6220 is 1/1194240.