GCF of 908/67, 598/5006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 908/67, 598/5006 i.e 2/335402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/67, 598/5006.
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 908/67,598/5006?
Given fractions are 908/67,598/5006
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 908/67,598/5006, numerators are 908,598
Denominators are 67,5006
The GCF of 908,598 is 2 .
LCM of 67,5006 is 335402.
The greatest common factor of 908/67,598/5006 = [GCF of 908,598]/[LCM of 67,5006]= 2/335402
Therefore, the GCF of 908/67,598/5006 is 2/335402.
To find the highest common factor of 908,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 908 are 1, 2, 4, 227, 454, 908
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 908,598 is 2.
Lets's calculate GCF of 908,598
| 2 | 908, 598 |
| 454, 299 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 908,598 By Matching Biggest Common Factor Method
Now, list down the factors of 908
:1,2,4,227,454,908
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 908,598 . The biggest common factor number is the GCF number.
So the greatest common factor 908,598 is 2.
Lets's calculate LCM of 67,5006
Given numbers has no common factors except 1. So, there LCM is their product i.e 335402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/335402
Therefore, the GCF of Fractions 908/67,598/5006 is 2/335402
Least Common Multiple of 67,5006 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 67,5006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,5006) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,5006) x common factors =1 x 1 = 1
LCM(67,5006) = ( 67 × 5006 ) / 1
LCM(67,5006) = 335402 / 1
LCM(67,5006) = 335402
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FAQs on GCF of Fractions of 908/67, 598/5006
1. What is the HCF of 908,598?
The HCF of 908,598 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 908/67, 598/5006?
Answer: GCF of Numerators as per given numbers 908/67, 598/5006 is
GCF of Numerators i.e. for 908,598 is 2
LCM of denominators i.e. for 67,5006 is 335402.
Thus, GCF of Fractions is 2/335402.Finally, GCF of Fractions for 908/67, 598/5006 is 2/335402.