GCF of 3187/116, 3840/7521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3187/116, 3840/7521 i.e 1/872436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3187/116, 3840/7521.
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 3187/116,3840/7521?
Given fractions are 3187/116,3840/7521
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 3187/116,3840/7521, numerators are 3187,3840
Denominators are 116,7521
The GCF of 3187,3840 is 1 .
LCM of 116,7521 is 872436.
The greatest common factor of 3187/116,3840/7521 = [GCF of 3187,3840]/[LCM of 116,7521]= 1/872436
Therefore, the GCF of 3187/116,3840/7521 is 1/872436.
To find the highest common factor of 3187,3840, we have to find the factors of both numbers and list the highest common factor.
The factors of 3187 are 1, 3187
The factors of 3840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 640, 768, 960, 1280, 1920, 3840
The HCF of 3187,3840 is 1.
Lets's calculate GCF of 3187,3840
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3187,3840 By Matching Biggest Common Factor Method
Now, list down the factors of 3187
:1,3187
Now, list down the factors of 3840
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,640,768,960,1280,1920,3840
Greatest Common Factor
We found the factors 3187,3840 . The biggest common factor number is the GCF number.
So the greatest common factor 3187,3840 is 1.
Lets's calculate LCM of 116,7521
Given numbers has no common factors except 1. So, there LCM is their product i.e 872436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/872436
Therefore, the GCF of Fractions 3187/116,3840/7521 is 1/872436
Least Common Multiple of 116,7521 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 116,7521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,7521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,7521) x common factors =1 x 1 = 1
LCM(116,7521) = ( 116 × 7521 ) / 1
LCM(116,7521) = 872436 / 1
LCM(116,7521) = 872436
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FAQs on GCF of Fractions of 3187/116, 3840/7521
1. What is the HCF of 3187,3840?
The HCF of 3187,3840 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 3187/116, 3840/7521?
Answer: GCF of Numerators as per given numbers 3187/116, 3840/7521 is
GCF of Numerators i.e. for 3187,3840 is 1
LCM of denominators i.e. for 116,7521 is 872436.
Thus, GCF of Fractions is 1/872436.Finally, GCF of Fractions for 3187/116, 3840/7521 is 1/872436.