GCF of 6267/607, 5140/8554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6267/607, 5140/8554 i.e 1/5192278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6267/607, 5140/8554.
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 6267/607,5140/8554?
Given fractions are 6267/607,5140/8554
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 6267/607,5140/8554, numerators are 6267,5140
Denominators are 607,8554
The GCF of 6267,5140 is 1 .
LCM of 607,8554 is 5192278.
The greatest common factor of 6267/607,5140/8554 = [GCF of 6267,5140]/[LCM of 607,8554]= 1/5192278
Therefore, the GCF of 6267/607,5140/8554 is 1/5192278.
To find the highest common factor of 6267,5140, we have to find the factors of both numbers and list the highest common factor.
The factors of 6267 are 1, 3, 2089, 6267
The factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
The HCF of 6267,5140 is 1.
Lets's calculate GCF of 6267,5140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6267,5140 By Matching Biggest Common Factor Method
Now, list down the factors of 6267
:1,3,2089,6267
Now, list down the factors of 5140
:1,2,4,5,10,20,257,514,1028,1285,2570,5140
Greatest Common Factor
We found the factors 6267,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 6267,5140 is 1.
Lets's calculate LCM of 607,8554
Given numbers has no common factors except 1. So, there LCM is their product i.e 5192278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5192278
Therefore, the GCF of Fractions 6267/607,5140/8554 is 1/5192278
Least Common Multiple of 607,8554 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 607,8554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,8554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,8554) x common factors =1 x 1 = 1
LCM(607,8554) = ( 607 × 8554 ) / 1
LCM(607,8554) = 5192278 / 1
LCM(607,8554) = 5192278
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FAQs on GCF of Fractions of 6267/607, 5140/8554
1. What is the HCF of 6267,5140?
The HCF of 6267,5140 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 6267/607, 5140/8554?
Answer: GCF of Numerators as per given numbers 6267/607, 5140/8554 is
GCF of Numerators i.e. for 6267,5140 is 1
LCM of denominators i.e. for 607,8554 is 5192278.
Thus, GCF of Fractions is 1/5192278.Finally, GCF of Fractions for 6267/607, 5140/8554 is 1/5192278.