GCF of 5153/997, 3510/6766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5153/997, 3510/6766 i.e 1/6745702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5153/997, 3510/6766.
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 5153/997,3510/6766?
Given fractions are 5153/997,3510/6766
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 5153/997,3510/6766, numerators are 5153,3510
Denominators are 997,6766
The GCF of 5153,3510 is 1 .
LCM of 997,6766 is 6745702.
The greatest common factor of 5153/997,3510/6766 = [GCF of 5153,3510]/[LCM of 997,6766]= 1/6745702
Therefore, the GCF of 5153/997,3510/6766 is 1/6745702.
To find the highest common factor of 5153,3510, we have to find the factors of both numbers and list the highest common factor.
The factors of 5153 are 1, 5153
The factors of 3510 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510
The HCF of 5153,3510 is 1.
Lets's calculate GCF of 5153,3510
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5153,3510 By Matching Biggest Common Factor Method
Now, list down the factors of 5153
:1,5153
Now, list down the factors of 3510
:1,2,3,5,6,9,10,13,15,18,26,27,30,39,45,54,65,78,90,117,130,135,195,234,270,351,390,585,702,1170,1755,3510
Greatest Common Factor
We found the factors 5153,3510 . The biggest common factor number is the GCF number.
So the greatest common factor 5153,3510 is 1.
Lets's calculate LCM of 997,6766
Given numbers has no common factors except 1. So, there LCM is their product i.e 6745702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6745702
Therefore, the GCF of Fractions 5153/997,3510/6766 is 1/6745702
Least Common Multiple of 997,6766 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 997,6766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,6766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,6766) x common factors =1 x 1 = 1
LCM(997,6766) = ( 997 × 6766 ) / 1
LCM(997,6766) = 6745702 / 1
LCM(997,6766) = 6745702
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FAQs on GCF of Fractions of 5153/997, 3510/6766
1. What is the HCF of 5153,3510?
The HCF of 5153,3510 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 5153/997, 3510/6766?
Answer: GCF of Numerators as per given numbers 5153/997, 3510/6766 is
GCF of Numerators i.e. for 5153,3510 is 1
LCM of denominators i.e. for 997,6766 is 6745702.
Thus, GCF of Fractions is 1/6745702.Finally, GCF of Fractions for 5153/997, 3510/6766 is 1/6745702.