GCF of 852/500, 707/904, 221/508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 852/500, 707/904, 221/508 i.e 1/14351000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 852/500, 707/904, 221/508.
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 852/500,707/904,221/508?
Given fractions are 852/500,707/904,221/508
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 852/500,707/904,221/508, numerators are 852,707,221
Denominators are 500,904,508
The GCF of 852,707,221 is 1 .
LCM of 500,904,508 is 14351000.
The greatest common factor of 852/500,707/904,221/508 = [GCF of 852,707,221]/[LCM of 500,904,508]= 1/14351000
Therefore, the GCF of 852/500,707/904,221/508 is 1/14351000.
To find the highest common factor of 852,707,221, we have to find the factors of both numbers and list the highest common factor.
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The factors of 707 are 1, 7, 101, 707
The factors of 221 are 1, 13, 17, 221
The HCF of 852,707,221 is 1.
Lets's calculate GCF of 852,707,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 852,707,221 By Matching Biggest Common Factor Method
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Now, list down the factors of 707
:1,7,101,707
Now, list down the factors of 221
:1,13,17,221
Greatest Common Factor
We found the factors 852,707,221 . The biggest common factor number is the GCF number.
So the greatest common factor 852,707,221 is 1.
Lets's calculate LCM of 500,904,508
| 2 | 500, 904, 508 |
| 2 | 250, 452, 254 |
| 125, 226, 127 |
∴ So the LCM of the given numbers is 2 x 2 x 125 x 226 x 127 = 14351000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14351000
Therefore, the GCF of Fractions 852/500,707/904,221/508 is 1/14351000
Least Common Multiple of 500,904,508 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 500,904,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,904,508) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(500,904,508) x common factors =4 x 4 = 16
LCM(500,904,508) = ( 500 × 904 × 508 ) / 16
LCM(500,904,508) = 229616000 / 16
LCM(500,904,508) = 14351000
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 852/500, 707/904, 221/508
1. What is the HCF of 852,707,221?
The HCF of 852,707,221 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 852/500, 707/904, 221/508?
Answer: GCF of Numerators as per given numbers 852/500, 707/904, 221/508 is
GCF of Numerators i.e. for 852,707,221 is 1
LCM of denominators i.e. for 500,904,508 is 14351000.
Thus, GCF of Fractions is 1/14351000.Finally, GCF of Fractions for 852/500, 707/904, 221/508 is 1/14351000.