GCF of 4385/630, 2686/1460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4385/630, 2686/1460 i.e 1/91980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4385/630, 2686/1460.
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 4385/630,2686/1460?
Given fractions are 4385/630,2686/1460
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 4385/630,2686/1460, numerators are 4385,2686
Denominators are 630,1460
The GCF of 4385,2686 is 1 .
LCM of 630,1460 is 91980.
The greatest common factor of 4385/630,2686/1460 = [GCF of 4385,2686]/[LCM of 630,1460]= 1/91980
Therefore, the GCF of 4385/630,2686/1460 is 1/91980.
To find the highest common factor of 4385,2686, we have to find the factors of both numbers and list the highest common factor.
The factors of 4385 are 1, 5, 877, 4385
The factors of 2686 are 1, 2, 17, 34, 79, 158, 1343, 2686
The HCF of 4385,2686 is 1.
Lets's calculate GCF of 4385,2686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4385,2686 By Matching Biggest Common Factor Method
Now, list down the factors of 4385
:1,5,877,4385
Now, list down the factors of 2686
:1,2,17,34,79,158,1343,2686
Greatest Common Factor
We found the factors 4385,2686 . The biggest common factor number is the GCF number.
So the greatest common factor 4385,2686 is 1.
Lets's calculate LCM of 630,1460
| 2 | 630, 1460 |
| 5 | 315, 730 |
| 63, 146 |
∴ So the LCM of the given numbers is 2 x 5 x 63 x 146 = 91980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91980
Therefore, the GCF of Fractions 4385/630,2686/1460 is 1/91980
Least Common Multiple of 630,1460 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 630,1460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,1460) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(630,1460) x common factors =10 x 1 = 10
LCM(630,1460) = ( 630 × 1460 ) / 10
LCM(630,1460) = 919800 / 10
LCM(630,1460) = 91980
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FAQs on GCF of Fractions of 4385/630, 2686/1460
1. What is the HCF of 4385,2686?
The HCF of 4385,2686 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 4385/630, 2686/1460?
Answer: GCF of Numerators as per given numbers 4385/630, 2686/1460 is
GCF of Numerators i.e. for 4385,2686 is 1
LCM of denominators i.e. for 630,1460 is 91980.
Thus, GCF of Fractions is 1/91980.Finally, GCF of Fractions for 4385/630, 2686/1460 is 1/91980.