GCF of 9119/713, 7237/6773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9119/713, 7237/6773 i.e 1/4829149 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9119/713, 7237/6773.
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 9119/713,7237/6773?
Given fractions are 9119/713,7237/6773
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 9119/713,7237/6773, numerators are 9119,7237
Denominators are 713,6773
The GCF of 9119,7237 is 1 .
LCM of 713,6773 is 4829149.
The greatest common factor of 9119/713,7237/6773 = [GCF of 9119,7237]/[LCM of 713,6773]= 1/4829149
Therefore, the GCF of 9119/713,7237/6773 is 1/4829149.
To find the highest common factor of 9119,7237, we have to find the factors of both numbers and list the highest common factor.
The factors of 9119 are 1, 11, 829, 9119
The factors of 7237 are 1, 7237
The HCF of 9119,7237 is 1.
Lets's calculate GCF of 9119,7237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9119,7237 By Matching Biggest Common Factor Method
Now, list down the factors of 9119
:1,11,829,9119
Now, list down the factors of 7237
:1,7237
Greatest Common Factor
We found the factors 9119,7237 . The biggest common factor number is the GCF number.
So the greatest common factor 9119,7237 is 1.
Lets's calculate LCM of 713,6773
Given numbers has no common factors except 1. So, there LCM is their product i.e 4829149
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4829149
Therefore, the GCF of Fractions 9119/713,7237/6773 is 1/4829149
Least Common Multiple of 713,6773 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 713,6773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,6773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,6773) x common factors =1 x 1 = 1
LCM(713,6773) = ( 713 × 6773 ) / 1
LCM(713,6773) = 4829149 / 1
LCM(713,6773) = 4829149
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FAQs on GCF of Fractions of 9119/713, 7237/6773
1. What is the HCF of 9119,7237?
The HCF of 9119,7237 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 9119/713, 7237/6773?
Answer: GCF of Numerators as per given numbers 9119/713, 7237/6773 is
GCF of Numerators i.e. for 9119,7237 is 1
LCM of denominators i.e. for 713,6773 is 4829149.
Thus, GCF of Fractions is 1/4829149.Finally, GCF of Fractions for 9119/713, 7237/6773 is 1/4829149.