GCF of 5569/924, 8932/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5569/924, 8932/764 i.e 1/176484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5569/924, 8932/764.
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 5569/924,8932/764?
Given fractions are 5569/924,8932/764
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 5569/924,8932/764, numerators are 5569,8932
Denominators are 924,764
The GCF of 5569,8932 is 1 .
LCM of 924,764 is 176484.
The greatest common factor of 5569/924,8932/764 = [GCF of 5569,8932]/[LCM of 924,764]= 1/176484
Therefore, the GCF of 5569/924,8932/764 is 1/176484.
To find the highest common factor of 5569,8932, we have to find the factors of both numbers and list the highest common factor.
The factors of 5569 are 1, 5569
The factors of 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932
The HCF of 5569,8932 is 1.
Lets's calculate GCF of 5569,8932
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5569,8932 By Matching Biggest Common Factor Method
Now, list down the factors of 5569
:1,5569
Now, list down the factors of 8932
:1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932
Greatest Common Factor
We found the factors 5569,8932 . The biggest common factor number is the GCF number.
So the greatest common factor 5569,8932 is 1.
Lets's calculate LCM of 924,764
| 2 | 924, 764 |
| 2 | 462, 382 |
| 231, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 231 x 191 = 176484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176484
Therefore, the GCF of Fractions 5569/924,8932/764 is 1/176484
Least Common Multiple of 924,764 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 924,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,764) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(924,764) x common factors =4 x 1 = 4
LCM(924,764) = ( 924 × 764 ) / 4
LCM(924,764) = 705936 / 4
LCM(924,764) = 176484
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FAQs on GCF of Fractions of 5569/924, 8932/764
1. What is the HCF of 5569,8932?
The HCF of 5569,8932 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 5569/924, 8932/764?
Answer: GCF of Numerators as per given numbers 5569/924, 8932/764 is
GCF of Numerators i.e. for 5569,8932 is 1
LCM of denominators i.e. for 924,764 is 176484.
Thus, GCF of Fractions is 1/176484.Finally, GCF of Fractions for 5569/924, 8932/764 is 1/176484.