GCF of 5467/422, 6106/3687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5467/422, 6106/3687 i.e 71/1555914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5467/422, 6106/3687.
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 5467/422,6106/3687?
Given fractions are 5467/422,6106/3687
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 5467/422,6106/3687, numerators are 5467,6106
Denominators are 422,3687
The GCF of 5467,6106 is 71 .
LCM of 422,3687 is 1555914.
The greatest common factor of 5467/422,6106/3687 = [GCF of 5467,6106]/[LCM of 422,3687]= 71/1555914
Therefore, the GCF of 5467/422,6106/3687 is 71/1555914.
To find the highest common factor of 5467,6106, we have to find the factors of both numbers and list the highest common factor.
The factors of 5467 are 1, 7, 11, 71, 77, 497, 781, 5467
The factors of 6106 are 1, 2, 43, 71, 86, 142, 3053, 6106
The HCF of 5467,6106 is 71.
Lets's calculate GCF of 5467,6106
| 71 | 5467, 6106 |
| 77, 86 |
∴ So the GCF of the given numbers is 71 = 71
Greatest Common Factor of 5467,6106 By Matching Biggest Common Factor Method
Now, list down the factors of 5467
:1,7,11,71,77,497,781,5467
Now, list down the factors of 6106
:1,2,43,71,86,142,3053,6106
Greatest Common Factor
We found the factors 5467,6106 . The biggest common factor number is the GCF number.
So the greatest common factor 5467,6106 is 71.
Lets's calculate LCM of 422,3687
Given numbers has no common factors except 1. So, there LCM is their product i.e 1555914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/1555914
Therefore, the GCF of Fractions 5467/422,6106/3687 is 71/1555914
Least Common Multiple of 422,3687 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 422,3687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,3687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,3687) x common factors =1 x 1 = 1
LCM(422,3687) = ( 422 × 3687 ) / 1
LCM(422,3687) = 1555914 / 1
LCM(422,3687) = 1555914
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FAQs on GCF of Fractions of 5467/422, 6106/3687
1. What is the HCF of 5467,6106?
The HCF of 5467,6106 is 71
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 5467/422, 6106/3687?
Answer: GCF of Numerators as per given numbers 5467/422, 6106/3687 is
GCF of Numerators i.e. for 5467,6106 is 71
LCM of denominators i.e. for 422,3687 is 1555914.
Thus, GCF of Fractions is 71/1555914.Finally, GCF of Fractions for 5467/422, 6106/3687 is 71/1555914.