GCF of 738/848, 7038/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 738/848, 7038/914 i.e 18/387536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 738/848, 7038/914.
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 738/848,7038/914?
Given fractions are 738/848,7038/914
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 738/848,7038/914, numerators are 738,7038
Denominators are 848,914
The GCF of 738,7038 is 18 .
LCM of 848,914 is 387536.
The greatest common factor of 738/848,7038/914 = [GCF of 738,7038]/[LCM of 848,914]= 18/387536
Therefore, the GCF of 738/848,7038/914 is 18/387536.
To find the highest common factor of 738,7038, we have to find the factors of both numbers and list the highest common factor.
The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
The HCF of 738,7038 is 18.
Lets's calculate GCF of 738,7038
| 2 | 738, 7038 |
| 3 | 369, 3519 |
| 3 | 123, 1173 |
| 41, 391 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 738,7038 By Matching Biggest Common Factor Method
Now, list down the factors of 738
:1,2,3,6,9,18,41,82,123,246,369,738
Now, list down the factors of 7038
:1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 738,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 738,7038 is 18.
Lets's calculate LCM of 848,914
| 2 | 848, 914 |
| 424, 457 |
∴ So the LCM of the given numbers is 2 x 424 x 457 = 387536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/387536
Therefore, the GCF of Fractions 738/848,7038/914 is 18/387536
Least Common Multiple of 848,914 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 848,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(848,914) x common factors =2 x 1 = 2
LCM(848,914) = ( 848 × 914 ) / 2
LCM(848,914) = 775072 / 2
LCM(848,914) = 387536
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FAQs on GCF of Fractions of 738/848, 7038/914
1. What is the HCF of 738,7038?
The HCF of 738,7038 is 18
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 738/848, 7038/914?
Answer: GCF of Numerators as per given numbers 738/848, 7038/914 is
GCF of Numerators i.e. for 738,7038 is 18
LCM of denominators i.e. for 848,914 is 387536.
Thus, GCF of Fractions is 18/387536.Finally, GCF of Fractions for 738/848, 7038/914 is 18/387536.