GCF of 3937/921, 4503/4400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3937/921, 4503/4400 i.e 1/4052400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3937/921, 4503/4400.
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 3937/921,4503/4400?
Given fractions are 3937/921,4503/4400
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 3937/921,4503/4400, numerators are 3937,4503
Denominators are 921,4400
The GCF of 3937,4503 is 1 .
LCM of 921,4400 is 4052400.
The greatest common factor of 3937/921,4503/4400 = [GCF of 3937,4503]/[LCM of 921,4400]= 1/4052400
Therefore, the GCF of 3937/921,4503/4400 is 1/4052400.
To find the highest common factor of 3937,4503, we have to find the factors of both numbers and list the highest common factor.
The factors of 3937 are 1, 31, 127, 3937
The factors of 4503 are 1, 3, 19, 57, 79, 237, 1501, 4503
The HCF of 3937,4503 is 1.
Lets's calculate GCF of 3937,4503
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3937,4503 By Matching Biggest Common Factor Method
Now, list down the factors of 3937
:1,31,127,3937
Now, list down the factors of 4503
:1,3,19,57,79,237,1501,4503
Greatest Common Factor
We found the factors 3937,4503 . The biggest common factor number is the GCF number.
So the greatest common factor 3937,4503 is 1.
Lets's calculate LCM of 921,4400
Given numbers has no common factors except 1. So, there LCM is their product i.e 4052400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4052400
Therefore, the GCF of Fractions 3937/921,4503/4400 is 1/4052400
Least Common Multiple of 921,4400 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 921,4400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,4400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,4400) x common factors =1 x 1 = 1
LCM(921,4400) = ( 921 × 4400 ) / 1
LCM(921,4400) = 4052400 / 1
LCM(921,4400) = 4052400
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FAQs on GCF of Fractions of 3937/921, 4503/4400
1. What is the HCF of 3937,4503?
The HCF of 3937,4503 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 3937/921, 4503/4400?
Answer: GCF of Numerators as per given numbers 3937/921, 4503/4400 is
GCF of Numerators i.e. for 3937,4503 is 1
LCM of denominators i.e. for 921,4400 is 4052400.
Thus, GCF of Fractions is 1/4052400.Finally, GCF of Fractions for 3937/921, 4503/4400 is 1/4052400.