GCF of 6469/674, 4982/618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6469/674, 4982/618 i.e 1/208266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6469/674, 4982/618.
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 6469/674,4982/618?
Given fractions are 6469/674,4982/618
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 6469/674,4982/618, numerators are 6469,4982
Denominators are 674,618
The GCF of 6469,4982 is 1 .
LCM of 674,618 is 208266.
The greatest common factor of 6469/674,4982/618 = [GCF of 6469,4982]/[LCM of 674,618]= 1/208266
Therefore, the GCF of 6469/674,4982/618 is 1/208266.
To find the highest common factor of 6469,4982, we have to find the factors of both numbers and list the highest common factor.
The factors of 6469 are 1, 6469
The factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982
The HCF of 6469,4982 is 1.
Lets's calculate GCF of 6469,4982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6469,4982 By Matching Biggest Common Factor Method
Now, list down the factors of 6469
:1,6469
Now, list down the factors of 4982
:1,2,47,53,94,106,2491,4982
Greatest Common Factor
We found the factors 6469,4982 . The biggest common factor number is the GCF number.
So the greatest common factor 6469,4982 is 1.
Lets's calculate LCM of 674,618
| 2 | 674, 618 |
| 337, 309 |
∴ So the LCM of the given numbers is 2 x 337 x 309 = 208266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208266
Therefore, the GCF of Fractions 6469/674,4982/618 is 1/208266
Least Common Multiple of 674,618 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 674,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,618) x common factors =2 x 1 = 2
LCM(674,618) = ( 674 × 618 ) / 2
LCM(674,618) = 416532 / 2
LCM(674,618) = 208266
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FAQs on GCF of Fractions of 6469/674, 4982/618
1. What is the HCF of 6469,4982?
The HCF of 6469,4982 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 6469/674, 4982/618?
Answer: GCF of Numerators as per given numbers 6469/674, 4982/618 is
GCF of Numerators i.e. for 6469,4982 is 1
LCM of denominators i.e. for 674,618 is 208266.
Thus, GCF of Fractions is 1/208266.Finally, GCF of Fractions for 6469/674, 4982/618 is 1/208266.