GCF of 7/74, 74/21, 11/220, 262/618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7/74, 74/21, 11/220, 262/618 i.e 1/17606820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7/74, 74/21, 11/220, 262/618.
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 7/74,74/21,11/220,262/618?
Given fractions are 7/74,74/21,11/220,262/618
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 7/74,74/21,11/220,262/618, numerators are 7,74,11,262
Denominators are 74,21,220,618
The GCF of 7,74,11,262 is 1 .
LCM of 74,21,220,618 is 17606820.
The greatest common factor of 7/74,74/21,11/220,262/618 = [GCF of 7,74,11,262]/[LCM of 74,21,220,618]= 1/17606820
Therefore, the GCF of 7/74,74/21,11/220,262/618 is 1/17606820.
To find the highest common factor of 7,74,11,262, we have to find the factors of both numbers and list the highest common factor.
The factors of 7 are 1, 7
The factors of 74 are 1, 2, 37, 74
The factors of 11 are 1, 11
The factors of 262 are 1, 2, 131, 262
The HCF of 7,74,11,262 is 1.
Lets's calculate GCF of 7,74,11,262
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7,74,11,262 By Matching Biggest Common Factor Method
Now, list down the factors of 7
:1,7
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 11
:1,11
Now, list down the factors of 262
:1,2,131,262
Greatest Common Factor
We found the factors 7,74,11,262 . The biggest common factor number is the GCF number.
So the greatest common factor 7,74,11,262 is 1.
Lets's calculate LCM of 74,21,220,618
| 2 | 74, 21, 220, 618 |
| 3 | 37, 21, 110, 309 |
| 37, 7, 110, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 7 x 110 x 103 = 17606820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17606820
Therefore, the GCF of Fractions 7/74,74/21,11/220,262/618 is 1/17606820
Least Common Multiple of 74,21,220,618 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 74,21,220,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,21,220,618) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(74,21,220,618) x common factors =1 x 12 = 12
LCM(74,21,220,618) = ( 74 × 21 × 220 × 618 ) / 12
LCM(74,21,220,618) = 211281840 / 12
LCM(74,21,220,618) = 17606820
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7/74, 74/21, 11/220, 262/618
1. What is the HCF of 7,74,11,262?
The HCF of 7,74,11,262 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 7/74, 74/21, 11/220, 262/618?
Answer: GCF of Numerators as per given numbers 7/74, 74/21, 11/220, 262/618 is
GCF of Numerators i.e. for 7,74,11,262 is 1
LCM of denominators i.e. for 74,21,220,618 is 17606820.
Thus, GCF of Fractions is 1/17606820.Finally, GCF of Fractions for 7/74, 74/21, 11/220, 262/618 is 1/17606820.