GCF of 2844/735, 7132/581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2844/735, 7132/581 i.e 4/61005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2844/735, 7132/581.
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 2844/735,7132/581?
Given fractions are 2844/735,7132/581
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 2844/735,7132/581, numerators are 2844,7132
Denominators are 735,581
The GCF of 2844,7132 is 4 .
LCM of 735,581 is 61005.
The greatest common factor of 2844/735,7132/581 = [GCF of 2844,7132]/[LCM of 735,581]= 4/61005
Therefore, the GCF of 2844/735,7132/581 is 4/61005.
To find the highest common factor of 2844,7132, we have to find the factors of both numbers and list the highest common factor.
The factors of 2844 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 79, 158, 237, 316, 474, 711, 948, 1422, 2844
The factors of 7132 are 1, 2, 4, 1783, 3566, 7132
The HCF of 2844,7132 is 4.
Lets's calculate GCF of 2844,7132
| 2 | 2844, 7132 |
| 2 | 1422, 3566 |
| 711, 1783 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2844,7132 By Matching Biggest Common Factor Method
Now, list down the factors of 2844
:1,2,3,4,6,9,12,18,36,79,158,237,316,474,711,948,1422,2844
Now, list down the factors of 7132
:1,2,4,1783,3566,7132
Greatest Common Factor
We found the factors 2844,7132 . The biggest common factor number is the GCF number.
So the greatest common factor 2844,7132 is 4.
Lets's calculate LCM of 735,581
| 7 | 735, 581 |
| 105, 83 |
∴ So the LCM of the given numbers is 7 x 105 x 83 = 61005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61005
Therefore, the GCF of Fractions 2844/735,7132/581 is 4/61005
Least Common Multiple of 735,581 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 735,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,581) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(735,581) x common factors =7 x 1 = 7
LCM(735,581) = ( 735 × 581 ) / 7
LCM(735,581) = 427035 / 7
LCM(735,581) = 61005
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FAQs on GCF of Fractions of 2844/735, 7132/581
1. What is the HCF of 2844,7132?
The HCF of 2844,7132 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 2844/735, 7132/581?
Answer: GCF of Numerators as per given numbers 2844/735, 7132/581 is
GCF of Numerators i.e. for 2844,7132 is 4
LCM of denominators i.e. for 735,581 is 61005.
Thus, GCF of Fractions is 4/61005.Finally, GCF of Fractions for 2844/735, 7132/581 is 4/61005.