GCF of 5072/233, 4775/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5072/233, 4775/706 i.e 1/164498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5072/233, 4775/706.
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 5072/233,4775/706?
Given fractions are 5072/233,4775/706
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 5072/233,4775/706, numerators are 5072,4775
Denominators are 233,706
The GCF of 5072,4775 is 1 .
LCM of 233,706 is 164498.
The greatest common factor of 5072/233,4775/706 = [GCF of 5072,4775]/[LCM of 233,706]= 1/164498
Therefore, the GCF of 5072/233,4775/706 is 1/164498.
To find the highest common factor of 5072,4775, we have to find the factors of both numbers and list the highest common factor.
The factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072
The factors of 4775 are 1, 5, 25, 191, 955, 4775
The HCF of 5072,4775 is 1.
Lets's calculate GCF of 5072,4775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5072,4775 By Matching Biggest Common Factor Method
Now, list down the factors of 5072
:1,2,4,8,16,317,634,1268,2536,5072
Now, list down the factors of 4775
:1,5,25,191,955,4775
Greatest Common Factor
We found the factors 5072,4775 . The biggest common factor number is the GCF number.
So the greatest common factor 5072,4775 is 1.
Lets's calculate LCM of 233,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 164498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164498
Therefore, the GCF of Fractions 5072/233,4775/706 is 1/164498
Least Common Multiple of 233,706 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 233,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,706) x common factors =1 x 1 = 1
LCM(233,706) = ( 233 × 706 ) / 1
LCM(233,706) = 164498 / 1
LCM(233,706) = 164498
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FAQs on GCF of Fractions of 5072/233, 4775/706
1. What is the HCF of 5072,4775?
The HCF of 5072,4775 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 5072/233, 4775/706?
Answer: GCF of Numerators as per given numbers 5072/233, 4775/706 is
GCF of Numerators i.e. for 5072,4775 is 1
LCM of denominators i.e. for 233,706 is 164498.
Thus, GCF of Fractions is 1/164498.Finally, GCF of Fractions for 5072/233, 4775/706 is 1/164498.