GCF of 4932/592, 6574/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4932/592, 6574/706 i.e 2/208976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4932/592, 6574/706.
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 4932/592,6574/706?
Given fractions are 4932/592,6574/706
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 4932/592,6574/706, numerators are 4932,6574
Denominators are 592,706
The GCF of 4932,6574 is 2 .
LCM of 592,706 is 208976.
The greatest common factor of 4932/592,6574/706 = [GCF of 4932,6574]/[LCM of 592,706]= 2/208976
Therefore, the GCF of 4932/592,6574/706 is 2/208976.
To find the highest common factor of 4932,6574, we have to find the factors of both numbers and list the highest common factor.
The factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932
The factors of 6574 are 1, 2, 19, 38, 173, 346, 3287, 6574
The HCF of 4932,6574 is 2.
Lets's calculate GCF of 4932,6574
| 2 | 4932, 6574 |
| 2466, 3287 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4932,6574 By Matching Biggest Common Factor Method
Now, list down the factors of 4932
:1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932
Now, list down the factors of 6574
:1,2,19,38,173,346,3287,6574
Greatest Common Factor
We found the factors 4932,6574 . The biggest common factor number is the GCF number.
So the greatest common factor 4932,6574 is 2.
Lets's calculate LCM of 592,706
| 2 | 592, 706 |
| 296, 353 |
∴ So the LCM of the given numbers is 2 x 296 x 353 = 208976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208976
Therefore, the GCF of Fractions 4932/592,6574/706 is 2/208976
Least Common Multiple of 592,706 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 592,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(592,706) x common factors =2 x 1 = 2
LCM(592,706) = ( 592 × 706 ) / 2
LCM(592,706) = 417952 / 2
LCM(592,706) = 208976
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FAQs on GCF of Fractions of 4932/592, 6574/706
1. What is the HCF of 4932,6574?
The HCF of 4932,6574 is 2
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 4932/592, 6574/706?
Answer: GCF of Numerators as per given numbers 4932/592, 6574/706 is
GCF of Numerators i.e. for 4932,6574 is 2
LCM of denominators i.e. for 592,706 is 208976.
Thus, GCF of Fractions is 2/208976.Finally, GCF of Fractions for 4932/592, 6574/706 is 2/208976.