GCF of 749/806, 5412/110
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 749/806, 5412/110 i.e 1/44330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/806, 5412/110.
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 749/806,5412/110?
Given fractions are 749/806,5412/110
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 749/806,5412/110, numerators are 749,5412
Denominators are 806,110
The GCF of 749,5412 is 1 .
LCM of 806,110 is 44330.
The greatest common factor of 749/806,5412/110 = [GCF of 749,5412]/[LCM of 806,110]= 1/44330
Therefore, the GCF of 749/806,5412/110 is 1/44330.
To find the highest common factor of 749,5412, we have to find the factors of both numbers and list the highest common factor.
The factors of 749 are 1, 7, 107, 749
The factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412
The HCF of 749,5412 is 1.
Lets's calculate GCF of 749,5412
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 749,5412 By Matching Biggest Common Factor Method
Now, list down the factors of 749
:1,7,107,749
Now, list down the factors of 5412
:1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412
Greatest Common Factor
We found the factors 749,5412 . The biggest common factor number is the GCF number.
So the greatest common factor 749,5412 is 1.
Lets's calculate LCM of 806,110
| 2 | 806, 110 |
| 403, 55 |
∴ So the LCM of the given numbers is 2 x 403 x 55 = 44330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44330
Therefore, the GCF of Fractions 749/806,5412/110 is 1/44330
Least Common Multiple of 806,110 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 806,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,110) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,110) x common factors =2 x 1 = 2
LCM(806,110) = ( 806 × 110 ) / 2
LCM(806,110) = 88660 / 2
LCM(806,110) = 44330
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FAQs on GCF of Fractions of 749/806, 5412/110
1. What is the HCF of 749,5412?
The HCF of 749,5412 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 749/806, 5412/110?
Answer: GCF of Numerators as per given numbers 749/806, 5412/110 is
GCF of Numerators i.e. for 749,5412 is 1
LCM of denominators i.e. for 806,110 is 44330.
Thus, GCF of Fractions is 1/44330.Finally, GCF of Fractions for 749/806, 5412/110 is 1/44330.