GCF of 969/93, 852/804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 969/93, 852/804 i.e 3/24924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 969/93, 852/804.
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 969/93,852/804?
Given fractions are 969/93,852/804
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 969/93,852/804, numerators are 969,852
Denominators are 93,804
The GCF of 969,852 is 3 .
LCM of 93,804 is 24924.
The greatest common factor of 969/93,852/804 = [GCF of 969,852]/[LCM of 93,804]= 3/24924
Therefore, the GCF of 969/93,852/804 is 3/24924.
To find the highest common factor of 969,852, we have to find the factors of both numbers and list the highest common factor.
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The HCF of 969,852 is 3.
Lets's calculate GCF of 969,852
| 3 | 969, 852 |
| 323, 284 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 969,852 By Matching Biggest Common Factor Method
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 969,852 . The biggest common factor number is the GCF number.
So the greatest common factor 969,852 is 3.
Lets's calculate LCM of 93,804
| 3 | 93, 804 |
| 31, 268 |
∴ So the LCM of the given numbers is 3 x 31 x 268 = 24924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24924
Therefore, the GCF of Fractions 969/93,852/804 is 3/24924
Least Common Multiple of 93,804 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 93,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,804) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,804) x common factors =3 x 1 = 3
LCM(93,804) = ( 93 × 804 ) / 3
LCM(93,804) = 74772 / 3
LCM(93,804) = 24924
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FAQs on GCF of Fractions of 969/93, 852/804
1. What is the HCF of 969,852?
The HCF of 969,852 is 3
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 969/93, 852/804?
Answer: GCF of Numerators as per given numbers 969/93, 852/804 is
GCF of Numerators i.e. for 969,852 is 3
LCM of denominators i.e. for 93,804 is 24924.
Thus, GCF of Fractions is 3/24924.Finally, GCF of Fractions for 969/93, 852/804 is 3/24924.