GCF of 909/68, 808/698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 909/68, 808/698 i.e 101/23732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 909/68, 808/698.
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 909/68,808/698?
Given fractions are 909/68,808/698
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 909/68,808/698, numerators are 909,808
Denominators are 68,698
The GCF of 909,808 is 101 .
LCM of 68,698 is 23732.
The greatest common factor of 909/68,808/698 = [GCF of 909,808]/[LCM of 68,698]= 101/23732
Therefore, the GCF of 909/68,808/698 is 101/23732.
To find the highest common factor of 909,808, we have to find the factors of both numbers and list the highest common factor.
The factors of 909 are 1, 3, 9, 101, 303, 909
The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808
The HCF of 909,808 is 101.
Lets's calculate GCF of 909,808
| 101 | 909, 808 |
| 9, 8 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 909,808 By Matching Biggest Common Factor Method
Now, list down the factors of 909
:1,3,9,101,303,909
Now, list down the factors of 808
:1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 909,808 . The biggest common factor number is the GCF number.
So the greatest common factor 909,808 is 101.
Lets's calculate LCM of 68,698
| 2 | 68, 698 |
| 34, 349 |
∴ So the LCM of the given numbers is 2 x 34 x 349 = 23732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/23732
Therefore, the GCF of Fractions 909/68,808/698 is 101/23732
Least Common Multiple of 68,698 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 68,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,698) x common factors =2 x 1 = 2
LCM(68,698) = ( 68 × 698 ) / 2
LCM(68,698) = 47464 / 2
LCM(68,698) = 23732
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FAQs on GCF of Fractions of 909/68, 808/698
1. What is the HCF of 909,808?
The HCF of 909,808 is 101
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 909/68, 808/698?
Answer: GCF of Numerators as per given numbers 909/68, 808/698 is
GCF of Numerators i.e. for 909,808 is 101
LCM of denominators i.e. for 68,698 is 23732.
Thus, GCF of Fractions is 101/23732.Finally, GCF of Fractions for 909/68, 808/698 is 101/23732.