GCF of 1385/509, 9184/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1385/509, 9184/974 i.e 1/495766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1385/509, 9184/974.
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 1385/509,9184/974?
Given fractions are 1385/509,9184/974
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 1385/509,9184/974, numerators are 1385,9184
Denominators are 509,974
The GCF of 1385,9184 is 1 .
LCM of 509,974 is 495766.
The greatest common factor of 1385/509,9184/974 = [GCF of 1385,9184]/[LCM of 509,974]= 1/495766
Therefore, the GCF of 1385/509,9184/974 is 1/495766.
To find the highest common factor of 1385,9184, we have to find the factors of both numbers and list the highest common factor.
The factors of 1385 are 1, 5, 277, 1385
The factors of 9184 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 82, 112, 164, 224, 287, 328, 574, 656, 1148, 1312, 2296, 4592, 9184
The HCF of 1385,9184 is 1.
Lets's calculate GCF of 1385,9184
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1385,9184 By Matching Biggest Common Factor Method
Now, list down the factors of 1385
:1,5,277,1385
Now, list down the factors of 9184
:1,2,4,7,8,14,16,28,32,41,56,82,112,164,224,287,328,574,656,1148,1312,2296,4592,9184
Greatest Common Factor
We found the factors 1385,9184 . The biggest common factor number is the GCF number.
So the greatest common factor 1385,9184 is 1.
Lets's calculate LCM of 509,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 495766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495766
Therefore, the GCF of Fractions 1385/509,9184/974 is 1/495766
Least Common Multiple of 509,974 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 509,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,974) x common factors =1 x 1 = 1
LCM(509,974) = ( 509 × 974 ) / 1
LCM(509,974) = 495766 / 1
LCM(509,974) = 495766
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FAQs on GCF of Fractions of 1385/509, 9184/974
1. What is the HCF of 1385,9184?
The HCF of 1385,9184 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 1385/509, 9184/974?
Answer: GCF of Numerators as per given numbers 1385/509, 9184/974 is
GCF of Numerators i.e. for 1385,9184 is 1
LCM of denominators i.e. for 509,974 is 495766.
Thus, GCF of Fractions is 1/495766.Finally, GCF of Fractions for 1385/509, 9184/974 is 1/495766.