GCF of 8854/254, 5767/1309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8854/254, 5767/1309 i.e 1/332486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8854/254, 5767/1309.
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 8854/254,5767/1309?
Given fractions are 8854/254,5767/1309
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 8854/254,5767/1309, numerators are 8854,5767
Denominators are 254,1309
The GCF of 8854,5767 is 1 .
LCM of 254,1309 is 332486.
The greatest common factor of 8854/254,5767/1309 = [GCF of 8854,5767]/[LCM of 254,1309]= 1/332486
Therefore, the GCF of 8854/254,5767/1309 is 1/332486.
To find the highest common factor of 8854,5767, we have to find the factors of both numbers and list the highest common factor.
The factors of 8854 are 1, 2, 19, 38, 233, 466, 4427, 8854
The factors of 5767 are 1, 73, 79, 5767
The HCF of 8854,5767 is 1.
Lets's calculate GCF of 8854,5767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8854,5767 By Matching Biggest Common Factor Method
Now, list down the factors of 8854
:1,2,19,38,233,466,4427,8854
Now, list down the factors of 5767
:1,73,79,5767
Greatest Common Factor
We found the factors 8854,5767 . The biggest common factor number is the GCF number.
So the greatest common factor 8854,5767 is 1.
Lets's calculate LCM of 254,1309
Given numbers has no common factors except 1. So, there LCM is their product i.e 332486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332486
Therefore, the GCF of Fractions 8854/254,5767/1309 is 1/332486
Least Common Multiple of 254,1309 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 254,1309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,1309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,1309) x common factors =1 x 1 = 1
LCM(254,1309) = ( 254 × 1309 ) / 1
LCM(254,1309) = 332486 / 1
LCM(254,1309) = 332486
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FAQs on GCF of Fractions of 8854/254, 5767/1309
1. What is the HCF of 8854,5767?
The HCF of 8854,5767 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 8854/254, 5767/1309?
Answer: GCF of Numerators as per given numbers 8854/254, 5767/1309 is
GCF of Numerators i.e. for 8854,5767 is 1
LCM of denominators i.e. for 254,1309 is 332486.
Thus, GCF of Fractions is 1/332486.Finally, GCF of Fractions for 8854/254, 5767/1309 is 1/332486.