GCF of 2338/657, 4574/986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2338/657, 4574/986 i.e 2/647802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2338/657, 4574/986.
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 2338/657,4574/986?
Given fractions are 2338/657,4574/986
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 2338/657,4574/986, numerators are 2338,4574
Denominators are 657,986
The GCF of 2338,4574 is 2 .
LCM of 657,986 is 647802.
The greatest common factor of 2338/657,4574/986 = [GCF of 2338,4574]/[LCM of 657,986]= 2/647802
Therefore, the GCF of 2338/657,4574/986 is 2/647802.
To find the highest common factor of 2338,4574, we have to find the factors of both numbers and list the highest common factor.
The factors of 2338 are 1, 2, 7, 14, 167, 334, 1169, 2338
The factors of 4574 are 1, 2, 2287, 4574
The HCF of 2338,4574 is 2.
Lets's calculate GCF of 2338,4574
| 2 | 2338, 4574 |
| 1169, 2287 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2338,4574 By Matching Biggest Common Factor Method
Now, list down the factors of 2338
:1,2,7,14,167,334,1169,2338
Now, list down the factors of 4574
:1,2,2287,4574
Greatest Common Factor
We found the factors 2338,4574 . The biggest common factor number is the GCF number.
So the greatest common factor 2338,4574 is 2.
Lets's calculate LCM of 657,986
Given numbers has no common factors except 1. So, there LCM is their product i.e 647802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/647802
Therefore, the GCF of Fractions 2338/657,4574/986 is 2/647802
Least Common Multiple of 657,986 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 657,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,986) x common factors =1 x 1 = 1
LCM(657,986) = ( 657 × 986 ) / 1
LCM(657,986) = 647802 / 1
LCM(657,986) = 647802
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FAQs on GCF of Fractions of 2338/657, 4574/986
1. What is the HCF of 2338,4574?
The HCF of 2338,4574 is 2
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 2338/657, 4574/986?
Answer: GCF of Numerators as per given numbers 2338/657, 4574/986 is
GCF of Numerators i.e. for 2338,4574 is 2
LCM of denominators i.e. for 657,986 is 647802.
Thus, GCF of Fractions is 2/647802.Finally, GCF of Fractions for 2338/657, 4574/986 is 2/647802.