GCF of 7267/493, 7618/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7267/493, 7618/974 i.e 13/480182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7267/493, 7618/974.
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 7267/493,7618/974?
Given fractions are 7267/493,7618/974
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 7267/493,7618/974, numerators are 7267,7618
Denominators are 493,974
The GCF of 7267,7618 is 13 .
LCM of 493,974 is 480182.
The greatest common factor of 7267/493,7618/974 = [GCF of 7267,7618]/[LCM of 493,974]= 13/480182
Therefore, the GCF of 7267/493,7618/974 is 13/480182.
To find the highest common factor of 7267,7618, we have to find the factors of both numbers and list the highest common factor.
The factors of 7267 are 1, 13, 43, 169, 559, 7267
The factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618
The HCF of 7267,7618 is 13.
Lets's calculate GCF of 7267,7618
| 13 | 7267, 7618 |
| 559, 586 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 7267,7618 By Matching Biggest Common Factor Method
Now, list down the factors of 7267
:1,13,43,169,559,7267
Now, list down the factors of 7618
:1,2,13,26,293,586,3809,7618
Greatest Common Factor
We found the factors 7267,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 7267,7618 is 13.
Lets's calculate LCM of 493,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 480182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/480182
Therefore, the GCF of Fractions 7267/493,7618/974 is 13/480182
Least Common Multiple of 493,974 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 493,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,974) x common factors =1 x 1 = 1
LCM(493,974) = ( 493 × 974 ) / 1
LCM(493,974) = 480182 / 1
LCM(493,974) = 480182
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FAQs on GCF of Fractions of 7267/493, 7618/974
1. What is the HCF of 7267,7618?
The HCF of 7267,7618 is 13
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 7267/493, 7618/974?
Answer: GCF of Numerators as per given numbers 7267/493, 7618/974 is
GCF of Numerators i.e. for 7267,7618 is 13
LCM of denominators i.e. for 493,974 is 480182.
Thus, GCF of Fractions is 13/480182.Finally, GCF of Fractions for 7267/493, 7618/974 is 13/480182.