GCF of 1762/719, 4472/5284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1762/719, 4472/5284 i.e 2/3799196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1762/719, 4472/5284.
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 1762/719,4472/5284?
Given fractions are 1762/719,4472/5284
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 1762/719,4472/5284, numerators are 1762,4472
Denominators are 719,5284
The GCF of 1762,4472 is 2 .
LCM of 719,5284 is 3799196.
The greatest common factor of 1762/719,4472/5284 = [GCF of 1762,4472]/[LCM of 719,5284]= 2/3799196
Therefore, the GCF of 1762/719,4472/5284 is 2/3799196.
To find the highest common factor of 1762,4472, we have to find the factors of both numbers and list the highest common factor.
The factors of 1762 are 1, 2, 881, 1762
The factors of 4472 are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472
The HCF of 1762,4472 is 2.
Lets's calculate GCF of 1762,4472
| 2 | 1762, 4472 |
| 881, 2236 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1762,4472 By Matching Biggest Common Factor Method
Now, list down the factors of 1762
:1,2,881,1762
Now, list down the factors of 4472
:1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472
Greatest Common Factor
We found the factors 1762,4472 . The biggest common factor number is the GCF number.
So the greatest common factor 1762,4472 is 2.
Lets's calculate LCM of 719,5284
Given numbers has no common factors except 1. So, there LCM is their product i.e 3799196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3799196
Therefore, the GCF of Fractions 1762/719,4472/5284 is 2/3799196
Least Common Multiple of 719,5284 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 719,5284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,5284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,5284) x common factors =1 x 1 = 1
LCM(719,5284) = ( 719 × 5284 ) / 1
LCM(719,5284) = 3799196 / 1
LCM(719,5284) = 3799196
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FAQs on GCF of Fractions of 1762/719, 4472/5284
1. What is the HCF of 1762,4472?
The HCF of 1762,4472 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 1762/719, 4472/5284?
Answer: GCF of Numerators as per given numbers 1762/719, 4472/5284 is
GCF of Numerators i.e. for 1762,4472 is 2
LCM of denominators i.e. for 719,5284 is 3799196.
Thus, GCF of Fractions is 2/3799196.Finally, GCF of Fractions for 1762/719, 4472/5284 is 2/3799196.