GCF of 1113/476, 2770/722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1113/476, 2770/722 i.e 1/171836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1113/476, 2770/722.
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 1113/476,2770/722?
Given fractions are 1113/476,2770/722
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 1113/476,2770/722, numerators are 1113,2770
Denominators are 476,722
The GCF of 1113,2770 is 1 .
LCM of 476,722 is 171836.
The greatest common factor of 1113/476,2770/722 = [GCF of 1113,2770]/[LCM of 476,722]= 1/171836
Therefore, the GCF of 1113/476,2770/722 is 1/171836.
To find the highest common factor of 1113,2770, we have to find the factors of both numbers and list the highest common factor.
The factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113
The factors of 2770 are 1, 2, 5, 10, 277, 554, 1385, 2770
The HCF of 1113,2770 is 1.
Lets's calculate GCF of 1113,2770
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1113,2770 By Matching Biggest Common Factor Method
Now, list down the factors of 1113
:1,3,7,21,53,159,371,1113
Now, list down the factors of 2770
:1,2,5,10,277,554,1385,2770
Greatest Common Factor
We found the factors 1113,2770 . The biggest common factor number is the GCF number.
So the greatest common factor 1113,2770 is 1.
Lets's calculate LCM of 476,722
| 2 | 476, 722 |
| 238, 361 |
∴ So the LCM of the given numbers is 2 x 238 x 361 = 171836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171836
Therefore, the GCF of Fractions 1113/476,2770/722 is 1/171836
Least Common Multiple of 476,722 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 476,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(476,722) x common factors =2 x 1 = 2
LCM(476,722) = ( 476 × 722 ) / 2
LCM(476,722) = 343672 / 2
LCM(476,722) = 171836
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FAQs on GCF of Fractions of 1113/476, 2770/722
1. What is the HCF of 1113,2770?
The HCF of 1113,2770 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 1113/476, 2770/722?
Answer: GCF of Numerators as per given numbers 1113/476, 2770/722 is
GCF of Numerators i.e. for 1113,2770 is 1
LCM of denominators i.e. for 476,722 is 171836.
Thus, GCF of Fractions is 1/171836.Finally, GCF of Fractions for 1113/476, 2770/722 is 1/171836.