GCF of 722/883, 585/748, 550/202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 722/883, 585/748, 550/202 i.e 1/66708884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/883, 585/748, 550/202.
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 722/883,585/748,550/202?
Given fractions are 722/883,585/748,550/202
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 722/883,585/748,550/202, numerators are 722,585,550
Denominators are 883,748,202
The GCF of 722,585,550 is 1 .
LCM of 883,748,202 is 66708884.
The greatest common factor of 722/883,585/748,550/202 = [GCF of 722,585,550]/[LCM of 883,748,202]= 1/66708884
Therefore, the GCF of 722/883,585/748,550/202 is 1/66708884.
To find the highest common factor of 722,585,550, we have to find the factors of both numbers and list the highest common factor.
The factors of 722 are 1, 2, 19, 38, 361, 722
The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The HCF of 722,585,550 is 1.
Lets's calculate GCF of 722,585,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 722,585,550 By Matching Biggest Common Factor Method
Now, list down the factors of 722
:1,2,19,38,361,722
Now, list down the factors of 585
:1,3,5,9,13,15,39,45,65,117,195,585
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 722,585,550 . The biggest common factor number is the GCF number.
So the greatest common factor 722,585,550 is 1.
Lets's calculate LCM of 883,748,202
| 2 | 883, 748, 202 |
| 883, 374, 101 |
∴ So the LCM of the given numbers is 2 x 883 x 374 x 101 = 66708884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66708884
Therefore, the GCF of Fractions 722/883,585/748,550/202 is 1/66708884
Least Common Multiple of 883,748,202 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 883,748,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,748,202) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(883,748,202) x common factors =1 x 2 = 2
LCM(883,748,202) = ( 883 × 748 × 202 ) / 2
LCM(883,748,202) = 133417768 / 2
LCM(883,748,202) = 66708884
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FAQs on GCF of Fractions of 722/883, 585/748, 550/202
1. What is the HCF of 722,585,550?
The HCF of 722,585,550 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 722/883, 585/748, 550/202?
Answer: GCF of Numerators as per given numbers 722/883, 585/748, 550/202 is
GCF of Numerators i.e. for 722,585,550 is 1
LCM of denominators i.e. for 883,748,202 is 66708884.
Thus, GCF of Fractions is 1/66708884.Finally, GCF of Fractions for 722/883, 585/748, 550/202 is 1/66708884.