GCF of 4434/762, 8588/728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4434/762, 8588/728 i.e 2/277368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4434/762, 8588/728.
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 4434/762,8588/728?
Given fractions are 4434/762,8588/728
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 4434/762,8588/728, numerators are 4434,8588
Denominators are 762,728
The GCF of 4434,8588 is 2 .
LCM of 762,728 is 277368.
The greatest common factor of 4434/762,8588/728 = [GCF of 4434,8588]/[LCM of 762,728]= 2/277368
Therefore, the GCF of 4434/762,8588/728 is 2/277368.
To find the highest common factor of 4434,8588, we have to find the factors of both numbers and list the highest common factor.
The factors of 4434 are 1, 2, 3, 6, 739, 1478, 2217, 4434
The factors of 8588 are 1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588
The HCF of 4434,8588 is 2.
Lets's calculate GCF of 4434,8588
| 2 | 4434, 8588 |
| 2217, 4294 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4434,8588 By Matching Biggest Common Factor Method
Now, list down the factors of 4434
:1,2,3,6,739,1478,2217,4434
Now, list down the factors of 8588
:1,2,4,19,38,76,113,226,452,2147,4294,8588
Greatest Common Factor
We found the factors 4434,8588 . The biggest common factor number is the GCF number.
So the greatest common factor 4434,8588 is 2.
Lets's calculate LCM of 762,728
| 2 | 762, 728 |
| 381, 364 |
∴ So the LCM of the given numbers is 2 x 381 x 364 = 277368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/277368
Therefore, the GCF of Fractions 4434/762,8588/728 is 2/277368
Least Common Multiple of 762,728 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 762,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(762,728) x common factors =2 x 1 = 2
LCM(762,728) = ( 762 × 728 ) / 2
LCM(762,728) = 554736 / 2
LCM(762,728) = 277368
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FAQs on GCF of Fractions of 4434/762, 8588/728
1. What is the HCF of 4434,8588?
The HCF of 4434,8588 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 4434/762, 8588/728?
Answer: GCF of Numerators as per given numbers 4434/762, 8588/728 is
GCF of Numerators i.e. for 4434,8588 is 2
LCM of denominators i.e. for 762,728 is 277368.
Thus, GCF of Fractions is 2/277368.Finally, GCF of Fractions for 4434/762, 8588/728 is 2/277368.