GCF of 2292/669, 6976/9753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2292/669, 6976/9753 i.e 4/2174919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2292/669, 6976/9753.
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 2292/669,6976/9753?
Given fractions are 2292/669,6976/9753
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 2292/669,6976/9753, numerators are 2292,6976
Denominators are 669,9753
The GCF of 2292,6976 is 4 .
LCM of 669,9753 is 2174919.
The greatest common factor of 2292/669,6976/9753 = [GCF of 2292,6976]/[LCM of 669,9753]= 4/2174919
Therefore, the GCF of 2292/669,6976/9753 is 4/2174919.
To find the highest common factor of 2292,6976, we have to find the factors of both numbers and list the highest common factor.
The factors of 2292 are 1, 2, 3, 4, 6, 12, 191, 382, 573, 764, 1146, 2292
The factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976
The HCF of 2292,6976 is 4.
Lets's calculate GCF of 2292,6976
| 2 | 2292, 6976 |
| 2 | 1146, 3488 |
| 573, 1744 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2292,6976 By Matching Biggest Common Factor Method
Now, list down the factors of 2292
:1,2,3,4,6,12,191,382,573,764,1146,2292
Now, list down the factors of 6976
:1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976
Greatest Common Factor
We found the factors 2292,6976 . The biggest common factor number is the GCF number.
So the greatest common factor 2292,6976 is 4.
Lets's calculate LCM of 669,9753
| 3 | 669, 9753 |
| 223, 3251 |
∴ So the LCM of the given numbers is 3 x 223 x 3251 = 2174919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2174919
Therefore, the GCF of Fractions 2292/669,6976/9753 is 4/2174919
Least Common Multiple of 669,9753 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 669,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,9753) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(669,9753) x common factors =3 x 1 = 3
LCM(669,9753) = ( 669 × 9753 ) / 3
LCM(669,9753) = 6524757 / 3
LCM(669,9753) = 2174919
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FAQs on GCF of Fractions of 2292/669, 6976/9753
1. What is the HCF of 2292,6976?
The HCF of 2292,6976 is 4
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 2292/669, 6976/9753?
Answer: GCF of Numerators as per given numbers 2292/669, 6976/9753 is
GCF of Numerators i.e. for 2292,6976 is 4
LCM of denominators i.e. for 669,9753 is 2174919.
Thus, GCF of Fractions is 4/2174919.Finally, GCF of Fractions for 2292/669, 6976/9753 is 4/2174919.