GCF of 603/42, 822/996
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 603/42, 822/996 i.e 3/6972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 603/42, 822/996.
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 603/42,822/996?
Given fractions are 603/42,822/996
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 603/42,822/996, numerators are 603,822
Denominators are 42,996
The GCF of 603,822 is 3 .
LCM of 42,996 is 6972.
The greatest common factor of 603/42,822/996 = [GCF of 603,822]/[LCM of 42,996]= 3/6972
Therefore, the GCF of 603/42,822/996 is 3/6972.
To find the highest common factor of 603,822, we have to find the factors of both numbers and list the highest common factor.
The factors of 603 are 1, 3, 9, 67, 201, 603
The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822
The HCF of 603,822 is 3.
Lets's calculate GCF of 603,822
| 3 | 603, 822 |
| 201, 274 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 603,822 By Matching Biggest Common Factor Method
Now, list down the factors of 603
:1,3,9,67,201,603
Now, list down the factors of 822
:1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 603,822 . The biggest common factor number is the GCF number.
So the greatest common factor 603,822 is 3.
Lets's calculate LCM of 42,996
| 2 | 42, 996 |
| 3 | 21, 498 |
| 7, 166 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 166 = 6972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6972
Therefore, the GCF of Fractions 603/42,822/996 is 3/6972
Least Common Multiple of 42,996 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 42,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,996) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(42,996) x common factors =6 x 1 = 6
LCM(42,996) = ( 42 × 996 ) / 6
LCM(42,996) = 41832 / 6
LCM(42,996) = 6972
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FAQs on GCF of Fractions of 603/42, 822/996
1. What is the HCF of 603,822?
The HCF of 603,822 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 603/42, 822/996?
Answer: GCF of Numerators as per given numbers 603/42, 822/996 is
GCF of Numerators i.e. for 603,822 is 3
LCM of denominators i.e. for 42,996 is 6972.
Thus, GCF of Fractions is 3/6972.Finally, GCF of Fractions for 603/42, 822/996 is 3/6972.