GCF of 2465/646, 8624/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2465/646, 8624/320 i.e 1/103360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2465/646, 8624/320.
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 2465/646,8624/320?
Given fractions are 2465/646,8624/320
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 2465/646,8624/320, numerators are 2465,8624
Denominators are 646,320
The GCF of 2465,8624 is 1 .
LCM of 646,320 is 103360.
The greatest common factor of 2465/646,8624/320 = [GCF of 2465,8624]/[LCM of 646,320]= 1/103360
Therefore, the GCF of 2465/646,8624/320 is 1/103360.
To find the highest common factor of 2465,8624, we have to find the factors of both numbers and list the highest common factor.
The factors of 2465 are 1, 5, 17, 29, 85, 145, 493, 2465
The factors of 8624 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 308, 392, 539, 616, 784, 1078, 1232, 2156, 4312, 8624
The HCF of 2465,8624 is 1.
Lets's calculate GCF of 2465,8624
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2465,8624 By Matching Biggest Common Factor Method
Now, list down the factors of 2465
:1,5,17,29,85,145,493,2465
Now, list down the factors of 8624
:1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624
Greatest Common Factor
We found the factors 2465,8624 . The biggest common factor number is the GCF number.
So the greatest common factor 2465,8624 is 1.
Lets's calculate LCM of 646,320
| 2 | 646, 320 |
| 323, 160 |
∴ So the LCM of the given numbers is 2 x 323 x 160 = 103360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103360
Therefore, the GCF of Fractions 2465/646,8624/320 is 1/103360
Least Common Multiple of 646,320 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 646,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,320) x common factors =2 x 1 = 2
LCM(646,320) = ( 646 × 320 ) / 2
LCM(646,320) = 206720 / 2
LCM(646,320) = 103360
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FAQs on GCF of Fractions of 2465/646, 8624/320
1. What is the HCF of 2465,8624?
The HCF of 2465,8624 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 2465/646, 8624/320?
Answer: GCF of Numerators as per given numbers 2465/646, 8624/320 is
GCF of Numerators i.e. for 2465,8624 is 1
LCM of denominators i.e. for 646,320 is 103360.
Thus, GCF of Fractions is 1/103360.Finally, GCF of Fractions for 2465/646, 8624/320 is 1/103360.