GCF of 8453/234, 2307/6959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8453/234, 2307/6959 i.e 1/1628406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8453/234, 2307/6959.
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 8453/234,2307/6959?
Given fractions are 8453/234,2307/6959
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 8453/234,2307/6959, numerators are 8453,2307
Denominators are 234,6959
The GCF of 8453,2307 is 1 .
LCM of 234,6959 is 1628406.
The greatest common factor of 8453/234,2307/6959 = [GCF of 8453,2307]/[LCM of 234,6959]= 1/1628406
Therefore, the GCF of 8453/234,2307/6959 is 1/1628406.
To find the highest common factor of 8453,2307, we have to find the factors of both numbers and list the highest common factor.
The factors of 8453 are 1, 79, 107, 8453
The factors of 2307 are 1, 3, 769, 2307
The HCF of 8453,2307 is 1.
Lets's calculate GCF of 8453,2307
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8453,2307 By Matching Biggest Common Factor Method
Now, list down the factors of 8453
:1,79,107,8453
Now, list down the factors of 2307
:1,3,769,2307
Greatest Common Factor
We found the factors 8453,2307 . The biggest common factor number is the GCF number.
So the greatest common factor 8453,2307 is 1.
Lets's calculate LCM of 234,6959
Given numbers has no common factors except 1. So, there LCM is their product i.e 1628406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1628406
Therefore, the GCF of Fractions 8453/234,2307/6959 is 1/1628406
Least Common Multiple of 234,6959 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 234,6959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,6959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(234,6959) x common factors =1 x 1 = 1
LCM(234,6959) = ( 234 × 6959 ) / 1
LCM(234,6959) = 1628406 / 1
LCM(234,6959) = 1628406
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FAQs on GCF of Fractions of 8453/234, 2307/6959
1. What is the HCF of 8453,2307?
The HCF of 8453,2307 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 8453/234, 2307/6959?
Answer: GCF of Numerators as per given numbers 8453/234, 2307/6959 is
GCF of Numerators i.e. for 8453,2307 is 1
LCM of denominators i.e. for 234,6959 is 1628406.
Thus, GCF of Fractions is 1/1628406.Finally, GCF of Fractions for 8453/234, 2307/6959 is 1/1628406.