GCF of 937/93, 881/923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 937/93, 881/923 i.e 1/85839 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/93, 881/923.
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 937/93,881/923?
Given fractions are 937/93,881/923
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 937/93,881/923, numerators are 937,881
Denominators are 93,923
The GCF of 937,881 is 1 .
LCM of 93,923 is 85839.
The greatest common factor of 937/93,881/923 = [GCF of 937,881]/[LCM of 93,923]= 1/85839
Therefore, the GCF of 937/93,881/923 is 1/85839.
To find the highest common factor of 937,881, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 881 are 1, 881
The HCF of 937,881 is 1.
Lets's calculate GCF of 937,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 937,881 By Matching Biggest Common Factor Method
Now, list down the factors of 937
:1,937
Now, list down the factors of 881
:1,881
Greatest Common Factor
We found the factors 937,881 . The biggest common factor number is the GCF number.
So the greatest common factor 937,881 is 1.
Lets's calculate LCM of 93,923
Given numbers has no common factors except 1. So, there LCM is their product i.e 85839
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85839
Therefore, the GCF of Fractions 937/93,881/923 is 1/85839
Least Common Multiple of 93,923 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 93,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,923) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,923) x common factors =1 x 1 = 1
LCM(93,923) = ( 93 × 923 ) / 1
LCM(93,923) = 85839 / 1
LCM(93,923) = 85839
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FAQs on GCF of Fractions of 937/93, 881/923
1. What is the HCF of 937,881?
The HCF of 937,881 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 937/93, 881/923?
Answer: GCF of Numerators as per given numbers 937/93, 881/923 is
GCF of Numerators i.e. for 937,881 is 1
LCM of denominators i.e. for 93,923 is 85839.
Thus, GCF of Fractions is 1/85839.Finally, GCF of Fractions for 937/93, 881/923 is 1/85839.