GCF of 5267/781, 6217/9551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5267/781, 6217/9551 i.e 1/7459331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5267/781, 6217/9551.
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 5267/781,6217/9551?
Given fractions are 5267/781,6217/9551
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 5267/781,6217/9551, numerators are 5267,6217
Denominators are 781,9551
The GCF of 5267,6217 is 1 .
LCM of 781,9551 is 7459331.
The greatest common factor of 5267/781,6217/9551 = [GCF of 5267,6217]/[LCM of 781,9551]= 1/7459331
Therefore, the GCF of 5267/781,6217/9551 is 1/7459331.
To find the highest common factor of 5267,6217, we have to find the factors of both numbers and list the highest common factor.
The factors of 5267 are 1, 23, 229, 5267
The factors of 6217 are 1, 6217
The HCF of 5267,6217 is 1.
Lets's calculate GCF of 5267,6217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5267,6217 By Matching Biggest Common Factor Method
Now, list down the factors of 5267
:1,23,229,5267
Now, list down the factors of 6217
:1,6217
Greatest Common Factor
We found the factors 5267,6217 . The biggest common factor number is the GCF number.
So the greatest common factor 5267,6217 is 1.
Lets's calculate LCM of 781,9551
Given numbers has no common factors except 1. So, there LCM is their product i.e 7459331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7459331
Therefore, the GCF of Fractions 5267/781,6217/9551 is 1/7459331
Least Common Multiple of 781,9551 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 781,9551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,9551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(781,9551) x common factors =1 x 1 = 1
LCM(781,9551) = ( 781 × 9551 ) / 1
LCM(781,9551) = 7459331 / 1
LCM(781,9551) = 7459331
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FAQs on GCF of Fractions of 5267/781, 6217/9551
1. What is the HCF of 5267,6217?
The HCF of 5267,6217 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 5267/781, 6217/9551?
Answer: GCF of Numerators as per given numbers 5267/781, 6217/9551 is
GCF of Numerators i.e. for 5267,6217 is 1
LCM of denominators i.e. for 781,9551 is 7459331.
Thus, GCF of Fractions is 1/7459331.Finally, GCF of Fractions for 5267/781, 6217/9551 is 1/7459331.