GCF of 233/245, 880/913, 668/124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 233/245, 880/913, 668/124 i.e 1/27736940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/245, 880/913, 668/124.
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 233/245,880/913,668/124?
Given fractions are 233/245,880/913,668/124
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 233/245,880/913,668/124, numerators are 233,880,668
Denominators are 245,913,124
The GCF of 233,880,668 is 1 .
LCM of 245,913,124 is 27736940.
The greatest common factor of 233/245,880/913,668/124 = [GCF of 233,880,668]/[LCM of 245,913,124]= 1/27736940
Therefore, the GCF of 233/245,880/913,668/124 is 1/27736940.
To find the highest common factor of 233,880,668, we have to find the factors of both numbers and list the highest common factor.
The factors of 233 are 1, 233
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The factors of 668 are 1, 2, 4, 167, 334, 668
The HCF of 233,880,668 is 1.
Lets's calculate GCF of 233,880,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 233,880,668 By Matching Biggest Common Factor Method
Now, list down the factors of 233
:1,233
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Now, list down the factors of 668
:1,2,4,167,334,668
Greatest Common Factor
We found the factors 233,880,668 . The biggest common factor number is the GCF number.
So the greatest common factor 233,880,668 is 1.
Lets's calculate LCM of 245,913,124
Given numbers has no common factors except 1. So, there LCM is their product i.e 27736940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27736940
Therefore, the GCF of Fractions 233/245,880/913,668/124 is 1/27736940
Least Common Multiple of 245,913,124 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 245,913,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,913,124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,913,124) x common factors =1 x 1 = 1
LCM(245,913,124) = ( 245 × 913 × 124 ) / 1
LCM(245,913,124) = 27736940 / 1
LCM(245,913,124) = 27736940
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FAQs on GCF of Fractions of 233/245, 880/913, 668/124
1. What is the HCF of 233,880,668?
The HCF of 233,880,668 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 233/245, 880/913, 668/124?
Answer: GCF of Numerators as per given numbers 233/245, 880/913, 668/124 is
GCF of Numerators i.e. for 233,880,668 is 1
LCM of denominators i.e. for 245,913,124 is 27736940.
Thus, GCF of Fractions is 1/27736940.Finally, GCF of Fractions for 233/245, 880/913, 668/124 is 1/27736940.