GCF of 2395/762, 8622/2957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2395/762, 8622/2957 i.e 479/2253234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2395/762, 8622/2957.
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 2395/762,8622/2957?
Given fractions are 2395/762,8622/2957
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 2395/762,8622/2957, numerators are 2395,8622
Denominators are 762,2957
The GCF of 2395,8622 is 479 .
LCM of 762,2957 is 2253234.
The greatest common factor of 2395/762,8622/2957 = [GCF of 2395,8622]/[LCM of 762,2957]= 479/2253234
Therefore, the GCF of 2395/762,8622/2957 is 479/2253234.
To find the highest common factor of 2395,8622, we have to find the factors of both numbers and list the highest common factor.
The factors of 2395 are 1, 5, 479, 2395
The factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622
The HCF of 2395,8622 is 479.
Lets's calculate GCF of 2395,8622
| 479 | 2395, 8622 |
| 5, 18 |
∴ So the GCF of the given numbers is 479 = 479
Greatest Common Factor of 2395,8622 By Matching Biggest Common Factor Method
Now, list down the factors of 2395
:1,5,479,2395
Now, list down the factors of 8622
:1,2,3,6,9,18,479,958,1437,2874,4311,8622
Greatest Common Factor
We found the factors 2395,8622 . The biggest common factor number is the GCF number.
So the greatest common factor 2395,8622 is 479.
Lets's calculate LCM of 762,2957
Given numbers has no common factors except 1. So, there LCM is their product i.e 2253234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 479/2253234
Therefore, the GCF of Fractions 2395/762,8622/2957 is 479/2253234
Least Common Multiple of 762,2957 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 762,2957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,2957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(762,2957) x common factors =1 x 1 = 1
LCM(762,2957) = ( 762 × 2957 ) / 1
LCM(762,2957) = 2253234 / 1
LCM(762,2957) = 2253234
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FAQs on GCF of Fractions of 2395/762, 8622/2957
1. What is the HCF of 2395,8622?
The HCF of 2395,8622 is 479
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 2395/762, 8622/2957?
Answer: GCF of Numerators as per given numbers 2395/762, 8622/2957 is
GCF of Numerators i.e. for 2395,8622 is 479
LCM of denominators i.e. for 762,2957 is 2253234.
Thus, GCF of Fractions is 479/2253234.Finally, GCF of Fractions for 2395/762, 8622/2957 is 479/2253234.