GCF of 4422/617, 7799/1542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4422/617, 7799/1542 i.e 11/951414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4422/617, 7799/1542.
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 4422/617,7799/1542?
Given fractions are 4422/617,7799/1542
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 4422/617,7799/1542, numerators are 4422,7799
Denominators are 617,1542
The GCF of 4422,7799 is 11 .
LCM of 617,1542 is 951414.
The greatest common factor of 4422/617,7799/1542 = [GCF of 4422,7799]/[LCM of 617,1542]= 11/951414
Therefore, the GCF of 4422/617,7799/1542 is 11/951414.
To find the highest common factor of 4422,7799, we have to find the factors of both numbers and list the highest common factor.
The factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422
The factors of 7799 are 1, 11, 709, 7799
The HCF of 4422,7799 is 11.
Lets's calculate GCF of 4422,7799
| 11 | 4422, 7799 |
| 402, 709 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4422,7799 By Matching Biggest Common Factor Method
Now, list down the factors of 4422
:1,2,3,6,11,22,33,66,67,134,201,402,737,1474,2211,4422
Now, list down the factors of 7799
:1,11,709,7799
Greatest Common Factor
We found the factors 4422,7799 . The biggest common factor number is the GCF number.
So the greatest common factor 4422,7799 is 11.
Lets's calculate LCM of 617,1542
Given numbers has no common factors except 1. So, there LCM is their product i.e 951414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/951414
Therefore, the GCF of Fractions 4422/617,7799/1542 is 11/951414
Least Common Multiple of 617,1542 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 617,1542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,1542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,1542) x common factors =1 x 1 = 1
LCM(617,1542) = ( 617 × 1542 ) / 1
LCM(617,1542) = 951414 / 1
LCM(617,1542) = 951414
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FAQs on GCF of Fractions of 4422/617, 7799/1542
1. What is the HCF of 4422,7799?
The HCF of 4422,7799 is 11
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 4422/617, 7799/1542?
Answer: GCF of Numerators as per given numbers 4422/617, 7799/1542 is
GCF of Numerators i.e. for 4422,7799 is 11
LCM of denominators i.e. for 617,1542 is 951414.
Thus, GCF of Fractions is 11/951414.Finally, GCF of Fractions for 4422/617, 7799/1542 is 11/951414.