GCF of 909/424, 3700/702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 909/424, 3700/702 i.e 1/148824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 909/424, 3700/702.
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 909/424,3700/702?
Given fractions are 909/424,3700/702
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 909/424,3700/702, numerators are 909,3700
Denominators are 424,702
The GCF of 909,3700 is 1 .
LCM of 424,702 is 148824.
The greatest common factor of 909/424,3700/702 = [GCF of 909,3700]/[LCM of 424,702]= 1/148824
Therefore, the GCF of 909/424,3700/702 is 1/148824.
To find the highest common factor of 909,3700, 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 3700 are 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700
The HCF of 909,3700 is 1.
Lets's calculate GCF of 909,3700
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 909,3700 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 3700
:1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700
Greatest Common Factor
We found the factors 909,3700 . The biggest common factor number is the GCF number.
So the greatest common factor 909,3700 is 1.
Lets's calculate LCM of 424,702
| 2 | 424, 702 |
| 212, 351 |
∴ So the LCM of the given numbers is 2 x 212 x 351 = 148824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148824
Therefore, the GCF of Fractions 909/424,3700/702 is 1/148824
Least Common Multiple of 424,702 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 424,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,702) x common factors =2 x 1 = 2
LCM(424,702) = ( 424 × 702 ) / 2
LCM(424,702) = 297648 / 2
LCM(424,702) = 148824
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FAQs on GCF of Fractions of 909/424, 3700/702
1. What is the HCF of 909,3700?
The HCF of 909,3700 is 1
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 909/424, 3700/702?
Answer: GCF of Numerators as per given numbers 909/424, 3700/702 is
GCF of Numerators i.e. for 909,3700 is 1
LCM of denominators i.e. for 424,702 is 148824.
Thus, GCF of Fractions is 1/148824.Finally, GCF of Fractions for 909/424, 3700/702 is 1/148824.