GCF of 2595/654, 2070/6534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2595/654, 2070/6534 i.e 15/712206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2595/654, 2070/6534.
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 2595/654,2070/6534?
Given fractions are 2595/654,2070/6534
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 2595/654,2070/6534, numerators are 2595,2070
Denominators are 654,6534
The GCF of 2595,2070 is 15 .
LCM of 654,6534 is 712206.
The greatest common factor of 2595/654,2070/6534 = [GCF of 2595,2070]/[LCM of 654,6534]= 15/712206
Therefore, the GCF of 2595/654,2070/6534 is 15/712206.
To find the highest common factor of 2595,2070, we have to find the factors of both numbers and list the highest common factor.
The factors of 2595 are 1, 3, 5, 15, 173, 519, 865, 2595
The factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070
The HCF of 2595,2070 is 15.
Lets's calculate GCF of 2595,2070
| 3 | 2595, 2070 |
| 5 | 865, 690 |
| 173, 138 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2595,2070 By Matching Biggest Common Factor Method
Now, list down the factors of 2595
:1,3,5,15,173,519,865,2595
Now, list down the factors of 2070
:1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Greatest Common Factor
We found the factors 2595,2070 . The biggest common factor number is the GCF number.
So the greatest common factor 2595,2070 is 15.
Lets's calculate LCM of 654,6534
| 2 | 654, 6534 |
| 3 | 327, 3267 |
| 109, 1089 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 1089 = 712206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/712206
Therefore, the GCF of Fractions 2595/654,2070/6534 is 15/712206
Least Common Multiple of 654,6534 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 654,6534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,6534) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(654,6534) x common factors =6 x 1 = 6
LCM(654,6534) = ( 654 × 6534 ) / 6
LCM(654,6534) = 4273236 / 6
LCM(654,6534) = 712206
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FAQs on GCF of Fractions of 2595/654, 2070/6534
1. What is the HCF of 2595,2070?
The HCF of 2595,2070 is 15
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 2595/654, 2070/6534?
Answer: GCF of Numerators as per given numbers 2595/654, 2070/6534 is
GCF of Numerators i.e. for 2595,2070 is 15
LCM of denominators i.e. for 654,6534 is 712206.
Thus, GCF of Fractions is 15/712206.Finally, GCF of Fractions for 2595/654, 2070/6534 is 15/712206.