GCF of 6162/608, 5350/7479
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6162/608, 5350/7479 i.e 2/4547232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6162/608, 5350/7479.
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 6162/608,5350/7479?
Given fractions are 6162/608,5350/7479
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 6162/608,5350/7479, numerators are 6162,5350
Denominators are 608,7479
The GCF of 6162,5350 is 2 .
LCM of 608,7479 is 4547232.
The greatest common factor of 6162/608,5350/7479 = [GCF of 6162,5350]/[LCM of 608,7479]= 2/4547232
Therefore, the GCF of 6162/608,5350/7479 is 2/4547232.
To find the highest common factor of 6162,5350, we have to find the factors of both numbers and list the highest common factor.
The factors of 6162 are 1, 2, 3, 6, 13, 26, 39, 78, 79, 158, 237, 474, 1027, 2054, 3081, 6162
The factors of 5350 are 1, 2, 5, 10, 25, 50, 107, 214, 535, 1070, 2675, 5350
The HCF of 6162,5350 is 2.
Lets's calculate GCF of 6162,5350
| 2 | 6162, 5350 |
| 3081, 2675 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6162,5350 By Matching Biggest Common Factor Method
Now, list down the factors of 6162
:1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162
Now, list down the factors of 5350
:1,2,5,10,25,50,107,214,535,1070,2675,5350
Greatest Common Factor
We found the factors 6162,5350 . The biggest common factor number is the GCF number.
So the greatest common factor 6162,5350 is 2.
Lets's calculate LCM of 608,7479
Given numbers has no common factors except 1. So, there LCM is their product i.e 4547232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4547232
Therefore, the GCF of Fractions 6162/608,5350/7479 is 2/4547232
Least Common Multiple of 608,7479 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 608,7479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,7479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,7479) x common factors =1 x 1 = 1
LCM(608,7479) = ( 608 × 7479 ) / 1
LCM(608,7479) = 4547232 / 1
LCM(608,7479) = 4547232
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FAQs on GCF of Fractions of 6162/608, 5350/7479
1. What is the HCF of 6162,5350?
The HCF of 6162,5350 is 2
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 6162/608, 5350/7479?
Answer: GCF of Numerators as per given numbers 6162/608, 5350/7479 is
GCF of Numerators i.e. for 6162,5350 is 2
LCM of denominators i.e. for 608,7479 is 4547232.
Thus, GCF of Fractions is 2/4547232.Finally, GCF of Fractions for 6162/608, 5350/7479 is 2/4547232.