GCF of 3161/624, 6540/970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3161/624, 6540/970 i.e 109/302640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3161/624, 6540/970.
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 3161/624,6540/970?
Given fractions are 3161/624,6540/970
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 3161/624,6540/970, numerators are 3161,6540
Denominators are 624,970
The GCF of 3161,6540 is 109 .
LCM of 624,970 is 302640.
The greatest common factor of 3161/624,6540/970 = [GCF of 3161,6540]/[LCM of 624,970]= 109/302640
Therefore, the GCF of 3161/624,6540/970 is 109/302640.
To find the highest common factor of 3161,6540, we have to find the factors of both numbers and list the highest common factor.
The factors of 3161 are 1, 29, 109, 3161
The factors of 6540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 109, 218, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 3270, 6540
The HCF of 3161,6540 is 109.
Lets's calculate GCF of 3161,6540
| 109 | 3161, 6540 |
| 29, 60 |
∴ So the GCF of the given numbers is 109 = 109
Greatest Common Factor of 3161,6540 By Matching Biggest Common Factor Method
Now, list down the factors of 3161
:1,29,109,3161
Now, list down the factors of 6540
:1,2,3,4,5,6,10,12,15,20,30,60,109,218,327,436,545,654,1090,1308,1635,2180,3270,6540
Greatest Common Factor
We found the factors 3161,6540 . The biggest common factor number is the GCF number.
So the greatest common factor 3161,6540 is 109.
Lets's calculate LCM of 624,970
| 2 | 624, 970 |
| 312, 485 |
∴ So the LCM of the given numbers is 2 x 312 x 485 = 302640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 109/302640
Therefore, the GCF of Fractions 3161/624,6540/970 is 109/302640
Least Common Multiple of 624,970 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 624,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(624,970) x common factors =2 x 1 = 2
LCM(624,970) = ( 624 × 970 ) / 2
LCM(624,970) = 605280 / 2
LCM(624,970) = 302640
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FAQs on GCF of Fractions of 3161/624, 6540/970
1. What is the HCF of 3161,6540?
The HCF of 3161,6540 is 109
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 3161/624, 6540/970?
Answer: GCF of Numerators as per given numbers 3161/624, 6540/970 is
GCF of Numerators i.e. for 3161,6540 is 109
LCM of denominators i.e. for 624,970 is 302640.
Thus, GCF of Fractions is 109/302640.Finally, GCF of Fractions for 3161/624, 6540/970 is 109/302640.