GCF of 1624/848, 8972/4834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1624/848, 8972/4834 i.e 4/2049616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1624/848, 8972/4834.
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 1624/848,8972/4834?
Given fractions are 1624/848,8972/4834
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 1624/848,8972/4834, numerators are 1624,8972
Denominators are 848,4834
The GCF of 1624,8972 is 4 .
LCM of 848,4834 is 2049616.
The greatest common factor of 1624/848,8972/4834 = [GCF of 1624,8972]/[LCM of 848,4834]= 4/2049616
Therefore, the GCF of 1624/848,8972/4834 is 4/2049616.
To find the highest common factor of 1624,8972, we have to find the factors of both numbers and list the highest common factor.
The factors of 1624 are 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624
The factors of 8972 are 1, 2, 4, 2243, 4486, 8972
The HCF of 1624,8972 is 4.
Lets's calculate GCF of 1624,8972
| 2 | 1624, 8972 |
| 2 | 812, 4486 |
| 406, 2243 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1624,8972 By Matching Biggest Common Factor Method
Now, list down the factors of 1624
:1,2,4,7,8,14,28,29,56,58,116,203,232,406,812,1624
Now, list down the factors of 8972
:1,2,4,2243,4486,8972
Greatest Common Factor
We found the factors 1624,8972 . The biggest common factor number is the GCF number.
So the greatest common factor 1624,8972 is 4.
Lets's calculate LCM of 848,4834
| 2 | 848, 4834 |
| 424, 2417 |
∴ So the LCM of the given numbers is 2 x 424 x 2417 = 2049616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2049616
Therefore, the GCF of Fractions 1624/848,8972/4834 is 4/2049616
Least Common Multiple of 848,4834 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 848,4834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,4834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(848,4834) x common factors =2 x 1 = 2
LCM(848,4834) = ( 848 × 4834 ) / 2
LCM(848,4834) = 4099232 / 2
LCM(848,4834) = 2049616
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FAQs on GCF of Fractions of 1624/848, 8972/4834
1. What is the HCF of 1624,8972?
The HCF of 1624,8972 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 1624/848, 8972/4834?
Answer: GCF of Numerators as per given numbers 1624/848, 8972/4834 is
GCF of Numerators i.e. for 1624,8972 is 4
LCM of denominators i.e. for 848,4834 is 2049616.
Thus, GCF of Fractions is 4/2049616.Finally, GCF of Fractions for 1624/848, 8972/4834 is 4/2049616.