GCF of 2934/197, 4509/7660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2934/197, 4509/7660 i.e 9/1509020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2934/197, 4509/7660.
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 2934/197,4509/7660?
Given fractions are 2934/197,4509/7660
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 2934/197,4509/7660, numerators are 2934,4509
Denominators are 197,7660
The GCF of 2934,4509 is 9 .
LCM of 197,7660 is 1509020.
The greatest common factor of 2934/197,4509/7660 = [GCF of 2934,4509]/[LCM of 197,7660]= 9/1509020
Therefore, the GCF of 2934/197,4509/7660 is 9/1509020.
To find the highest common factor of 2934,4509, we have to find the factors of both numbers and list the highest common factor.
The factors of 2934 are 1, 2, 3, 6, 9, 18, 163, 326, 489, 978, 1467, 2934
The factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509
The HCF of 2934,4509 is 9.
Lets's calculate GCF of 2934,4509
| 3 | 2934, 4509 |
| 3 | 978, 1503 |
| 326, 501 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2934,4509 By Matching Biggest Common Factor Method
Now, list down the factors of 2934
:1,2,3,6,9,18,163,326,489,978,1467,2934
Now, list down the factors of 4509
:1,3,9,27,167,501,1503,4509
Greatest Common Factor
We found the factors 2934,4509 . The biggest common factor number is the GCF number.
So the greatest common factor 2934,4509 is 9.
Lets's calculate LCM of 197,7660
Given numbers has no common factors except 1. So, there LCM is their product i.e 1509020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1509020
Therefore, the GCF of Fractions 2934/197,4509/7660 is 9/1509020
Least Common Multiple of 197,7660 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 197,7660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,7660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,7660) x common factors =1 x 1 = 1
LCM(197,7660) = ( 197 × 7660 ) / 1
LCM(197,7660) = 1509020 / 1
LCM(197,7660) = 1509020
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FAQs on GCF of Fractions of 2934/197, 4509/7660
1. What is the HCF of 2934,4509?
The HCF of 2934,4509 is 9
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 2934/197, 4509/7660?
Answer: GCF of Numerators as per given numbers 2934/197, 4509/7660 is
GCF of Numerators i.e. for 2934,4509 is 9
LCM of denominators i.e. for 197,7660 is 1509020.
Thus, GCF of Fractions is 9/1509020.Finally, GCF of Fractions for 2934/197, 4509/7660 is 9/1509020.