GCF of 44/39, 71/169, 468/688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 44/39, 71/169, 468/688 i.e 1/348816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/39, 71/169, 468/688.
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 44/39,71/169,468/688?
Given fractions are 44/39,71/169,468/688
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 44/39,71/169,468/688, numerators are 44,71,468
Denominators are 39,169,688
The GCF of 44,71,468 is 1 .
LCM of 39,169,688 is 348816.
The greatest common factor of 44/39,71/169,468/688 = [GCF of 44,71,468]/[LCM of 39,169,688]= 1/348816
Therefore, the GCF of 44/39,71/169,468/688 is 1/348816.
To find the highest common factor of 44,71,468, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 71 are 1, 71
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The HCF of 44,71,468 is 1.
Lets's calculate GCF of 44,71,468
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 44,71,468 By Matching Biggest Common Factor Method
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 71
:1,71
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 44,71,468 . The biggest common factor number is the GCF number.
So the greatest common factor 44,71,468 is 1.
Lets's calculate LCM of 39,169,688
| 13 | 39, 169, 688 |
| 3, 13, 688 |
∴ So the LCM of the given numbers is 13 x 3 x 13 x 688 = 348816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348816
Therefore, the GCF of Fractions 44/39,71/169,468/688 is 1/348816
Least Common Multiple of 39,169,688 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 39,169,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,169,688) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(39,169,688) x common factors =1 x 13 = 13
LCM(39,169,688) = ( 39 × 169 × 688 ) / 13
LCM(39,169,688) = 4534608 / 13
LCM(39,169,688) = 348816
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FAQs on GCF of Fractions of 44/39, 71/169, 468/688
1. What is the HCF of 44,71,468?
The HCF of 44,71,468 is 1
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 44/39, 71/169, 468/688?
Answer: GCF of Numerators as per given numbers 44/39, 71/169, 468/688 is
GCF of Numerators i.e. for 44,71,468 is 1
LCM of denominators i.e. for 39,169,688 is 348816.
Thus, GCF of Fractions is 1/348816.Finally, GCF of Fractions for 44/39, 71/169, 468/688 is 1/348816.