GCF of 2608/429, 8362/424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2608/429, 8362/424 i.e 2/181896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2608/429, 8362/424.
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 2608/429,8362/424?
Given fractions are 2608/429,8362/424
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 2608/429,8362/424, numerators are 2608,8362
Denominators are 429,424
The GCF of 2608,8362 is 2 .
LCM of 429,424 is 181896.
The greatest common factor of 2608/429,8362/424 = [GCF of 2608,8362]/[LCM of 429,424]= 2/181896
Therefore, the GCF of 2608/429,8362/424 is 2/181896.
To find the highest common factor of 2608,8362, we have to find the factors of both numbers and list the highest common factor.
The factors of 2608 are 1, 2, 4, 8, 16, 163, 326, 652, 1304, 2608
The factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362
The HCF of 2608,8362 is 2.
Lets's calculate GCF of 2608,8362
| 2 | 2608, 8362 |
| 1304, 4181 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2608,8362 By Matching Biggest Common Factor Method
Now, list down the factors of 2608
:1,2,4,8,16,163,326,652,1304,2608
Now, list down the factors of 8362
:1,2,37,74,113,226,4181,8362
Greatest Common Factor
We found the factors 2608,8362 . The biggest common factor number is the GCF number.
So the greatest common factor 2608,8362 is 2.
Lets's calculate LCM of 429,424
Given numbers has no common factors except 1. So, there LCM is their product i.e 181896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181896
Therefore, the GCF of Fractions 2608/429,8362/424 is 2/181896
Least Common Multiple of 429,424 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 429,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,424) x common factors =1 x 1 = 1
LCM(429,424) = ( 429 × 424 ) / 1
LCM(429,424) = 181896 / 1
LCM(429,424) = 181896
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FAQs on GCF of Fractions of 2608/429, 8362/424
1. What is the HCF of 2608,8362?
The HCF of 2608,8362 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 2608/429, 8362/424?
Answer: GCF of Numerators as per given numbers 2608/429, 8362/424 is
GCF of Numerators i.e. for 2608,8362 is 2
LCM of denominators i.e. for 429,424 is 181896.
Thus, GCF of Fractions is 2/181896.Finally, GCF of Fractions for 2608/429, 8362/424 is 2/181896.