GCF of 99/552, 754/648, 846/529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/552, 754/648, 846/529 i.e 1/342792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/552, 754/648, 846/529.
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 99/552,754/648,846/529?
Given fractions are 99/552,754/648,846/529
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 99/552,754/648,846/529, numerators are 99,754,846
Denominators are 552,648,529
The GCF of 99,754,846 is 1 .
LCM of 552,648,529 is 342792.
The greatest common factor of 99/552,754/648,846/529 = [GCF of 99,754,846]/[LCM of 552,648,529]= 1/342792
Therefore, the GCF of 99/552,754/648,846/529 is 1/342792.
To find the highest common factor of 99,754,846, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The HCF of 99,754,846 is 1.
Lets's calculate GCF of 99,754,846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 99,754,846 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 99,754,846 . The biggest common factor number is the GCF number.
So the greatest common factor 99,754,846 is 1.
Lets's calculate LCM of 552,648,529
| 2 | 552, 648, 529 |
| 2 | 276, 324, 529 |
| 2 | 138, 162, 529 |
| 3 | 69, 81, 529 |
| 23 | 23, 27, 529 |
| 1, 27, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 1 x 27 x 23 = 342792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342792
Therefore, the GCF of Fractions 99/552,754/648,846/529 is 1/342792
Least Common Multiple of 552,648,529 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 552,648,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(552,648,529) = 1
common factors(in case of two or more numbers have common factors) = 552
GCF(552,648,529) x common factors =1 x 552 = 552
LCM(552,648,529) = ( 552 × 648 × 529 ) / 552
LCM(552,648,529) = 189221184 / 552
LCM(552,648,529) = 342792
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 99/552, 754/648, 846/529
1. What is the HCF of 99,754,846?
The HCF of 99,754,846 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 99/552, 754/648, 846/529?
Answer: GCF of Numerators as per given numbers 99/552, 754/648, 846/529 is
GCF of Numerators i.e. for 99,754,846 is 1
LCM of denominators i.e. for 552,648,529 is 342792.
Thus, GCF of Fractions is 1/342792.Finally, GCF of Fractions for 99/552, 754/648, 846/529 is 1/342792.