GCF of 8474/616, 6858/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8474/616, 6858/741 i.e 2/456456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8474/616, 6858/741.
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 8474/616,6858/741?
Given fractions are 8474/616,6858/741
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 8474/616,6858/741, numerators are 8474,6858
Denominators are 616,741
The GCF of 8474,6858 is 2 .
LCM of 616,741 is 456456.
The greatest common factor of 8474/616,6858/741 = [GCF of 8474,6858]/[LCM of 616,741]= 2/456456
Therefore, the GCF of 8474/616,6858/741 is 2/456456.
To find the highest common factor of 8474,6858, we have to find the factors of both numbers and list the highest common factor.
The factors of 8474 are 1, 2, 19, 38, 223, 446, 4237, 8474
The factors of 6858 are 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858
The HCF of 8474,6858 is 2.
Lets's calculate GCF of 8474,6858
| 2 | 8474, 6858 |
| 4237, 3429 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8474,6858 By Matching Biggest Common Factor Method
Now, list down the factors of 8474
:1,2,19,38,223,446,4237,8474
Now, list down the factors of 6858
:1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858
Greatest Common Factor
We found the factors 8474,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 8474,6858 is 2.
Lets's calculate LCM of 616,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 456456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/456456
Therefore, the GCF of Fractions 8474/616,6858/741 is 2/456456
Least Common Multiple of 616,741 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 616,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(616,741) x common factors =1 x 1 = 1
LCM(616,741) = ( 616 × 741 ) / 1
LCM(616,741) = 456456 / 1
LCM(616,741) = 456456
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FAQs on GCF of Fractions of 8474/616, 6858/741
1. What is the HCF of 8474,6858?
The HCF of 8474,6858 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 8474/616, 6858/741?
Answer: GCF of Numerators as per given numbers 8474/616, 6858/741 is
GCF of Numerators i.e. for 8474,6858 is 2
LCM of denominators i.e. for 616,741 is 456456.
Thus, GCF of Fractions is 2/456456.Finally, GCF of Fractions for 8474/616, 6858/741 is 2/456456.