GCF of 5738/653, 7633/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5738/653, 7633/711 i.e 1/464283 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5738/653, 7633/711.
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 5738/653,7633/711?
Given fractions are 5738/653,7633/711
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 5738/653,7633/711, numerators are 5738,7633
Denominators are 653,711
The GCF of 5738,7633 is 1 .
LCM of 653,711 is 464283.
The greatest common factor of 5738/653,7633/711 = [GCF of 5738,7633]/[LCM of 653,711]= 1/464283
Therefore, the GCF of 5738/653,7633/711 is 1/464283.
To find the highest common factor of 5738,7633, we have to find the factors of both numbers and list the highest common factor.
The factors of 5738 are 1, 2, 19, 38, 151, 302, 2869, 5738
The factors of 7633 are 1, 17, 449, 7633
The HCF of 5738,7633 is 1.
Lets's calculate GCF of 5738,7633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5738,7633 By Matching Biggest Common Factor Method
Now, list down the factors of 5738
:1,2,19,38,151,302,2869,5738
Now, list down the factors of 7633
:1,17,449,7633
Greatest Common Factor
We found the factors 5738,7633 . The biggest common factor number is the GCF number.
So the greatest common factor 5738,7633 is 1.
Lets's calculate LCM of 653,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 464283
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464283
Therefore, the GCF of Fractions 5738/653,7633/711 is 1/464283
Least Common Multiple of 653,711 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 653,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,711) x common factors =1 x 1 = 1
LCM(653,711) = ( 653 × 711 ) / 1
LCM(653,711) = 464283 / 1
LCM(653,711) = 464283
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FAQs on GCF of Fractions of 5738/653, 7633/711
1. What is the HCF of 5738,7633?
The HCF of 5738,7633 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 5738/653, 7633/711?
Answer: GCF of Numerators as per given numbers 5738/653, 7633/711 is
GCF of Numerators i.e. for 5738,7633 is 1
LCM of denominators i.e. for 653,711 is 464283.
Thus, GCF of Fractions is 1/464283.Finally, GCF of Fractions for 5738/653, 7633/711 is 1/464283.