GCF of 7701/685, 8833/6909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7701/685, 8833/6909 i.e 1/4732665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7701/685, 8833/6909.
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 7701/685,8833/6909?
Given fractions are 7701/685,8833/6909
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 7701/685,8833/6909, numerators are 7701,8833
Denominators are 685,6909
The GCF of 7701,8833 is 1 .
LCM of 685,6909 is 4732665.
The greatest common factor of 7701/685,8833/6909 = [GCF of 7701,8833]/[LCM of 685,6909]= 1/4732665
Therefore, the GCF of 7701/685,8833/6909 is 1/4732665.
To find the highest common factor of 7701,8833, we have to find the factors of both numbers and list the highest common factor.
The factors of 7701 are 1, 3, 17, 51, 151, 453, 2567, 7701
The factors of 8833 are 1, 11, 73, 121, 803, 8833
The HCF of 7701,8833 is 1.
Lets's calculate GCF of 7701,8833
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7701,8833 By Matching Biggest Common Factor Method
Now, list down the factors of 7701
:1,3,17,51,151,453,2567,7701
Now, list down the factors of 8833
:1,11,73,121,803,8833
Greatest Common Factor
We found the factors 7701,8833 . The biggest common factor number is the GCF number.
So the greatest common factor 7701,8833 is 1.
Lets's calculate LCM of 685,6909
Given numbers has no common factors except 1. So, there LCM is their product i.e 4732665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4732665
Therefore, the GCF of Fractions 7701/685,8833/6909 is 1/4732665
Least Common Multiple of 685,6909 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 685,6909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,6909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,6909) x common factors =1 x 1 = 1
LCM(685,6909) = ( 685 × 6909 ) / 1
LCM(685,6909) = 4732665 / 1
LCM(685,6909) = 4732665
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FAQs on GCF of Fractions of 7701/685, 8833/6909
1. What is the HCF of 7701,8833?
The HCF of 7701,8833 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 7701/685, 8833/6909?
Answer: GCF of Numerators as per given numbers 7701/685, 8833/6909 is
GCF of Numerators i.e. for 7701,8833 is 1
LCM of denominators i.e. for 685,6909 is 4732665.
Thus, GCF of Fractions is 1/4732665.Finally, GCF of Fractions for 7701/685, 8833/6909 is 1/4732665.