GCF of 7733/711, 2951/307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7733/711, 2951/307 i.e 1/218277 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7733/711, 2951/307.
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 7733/711,2951/307?
Given fractions are 7733/711,2951/307
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 7733/711,2951/307, numerators are 7733,2951
Denominators are 711,307
The GCF of 7733,2951 is 1 .
LCM of 711,307 is 218277.
The greatest common factor of 7733/711,2951/307 = [GCF of 7733,2951]/[LCM of 711,307]= 1/218277
Therefore, the GCF of 7733/711,2951/307 is 1/218277.
To find the highest common factor of 7733,2951, we have to find the factors of both numbers and list the highest common factor.
The factors of 7733 are 1, 11, 19, 37, 209, 407, 703, 7733
The factors of 2951 are 1, 13, 227, 2951
The HCF of 7733,2951 is 1.
Lets's calculate GCF of 7733,2951
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7733,2951 By Matching Biggest Common Factor Method
Now, list down the factors of 7733
:1,11,19,37,209,407,703,7733
Now, list down the factors of 2951
:1,13,227,2951
Greatest Common Factor
We found the factors 7733,2951 . The biggest common factor number is the GCF number.
So the greatest common factor 7733,2951 is 1.
Lets's calculate LCM of 711,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 218277
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218277
Therefore, the GCF of Fractions 7733/711,2951/307 is 1/218277
Least Common Multiple of 711,307 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 711,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,307) x common factors =1 x 1 = 1
LCM(711,307) = ( 711 × 307 ) / 1
LCM(711,307) = 218277 / 1
LCM(711,307) = 218277
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FAQs on GCF of Fractions of 7733/711, 2951/307
1. What is the HCF of 7733,2951?
The HCF of 7733,2951 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 7733/711, 2951/307?
Answer: GCF of Numerators as per given numbers 7733/711, 2951/307 is
GCF of Numerators i.e. for 7733,2951 is 1
LCM of denominators i.e. for 711,307 is 218277.
Thus, GCF of Fractions is 1/218277.Finally, GCF of Fractions for 7733/711, 2951/307 is 1/218277.