GCF of 7244/847, 3738/1064
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7244/847, 3738/1064 i.e 2/128744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7244/847, 3738/1064.
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 7244/847,3738/1064?
Given fractions are 7244/847,3738/1064
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 7244/847,3738/1064, numerators are 7244,3738
Denominators are 847,1064
The GCF of 7244,3738 is 2 .
LCM of 847,1064 is 128744.
The greatest common factor of 7244/847,3738/1064 = [GCF of 7244,3738]/[LCM of 847,1064]= 2/128744
Therefore, the GCF of 7244/847,3738/1064 is 2/128744.
To find the highest common factor of 7244,3738, we have to find the factors of both numbers and list the highest common factor.
The factors of 7244 are 1, 2, 4, 1811, 3622, 7244
The factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738
The HCF of 7244,3738 is 2.
Lets's calculate GCF of 7244,3738
| 2 | 7244, 3738 |
| 3622, 1869 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7244,3738 By Matching Biggest Common Factor Method
Now, list down the factors of 7244
:1,2,4,1811,3622,7244
Now, list down the factors of 3738
:1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738
Greatest Common Factor
We found the factors 7244,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 7244,3738 is 2.
Lets's calculate LCM of 847,1064
| 7 | 847, 1064 |
| 121, 152 |
∴ So the LCM of the given numbers is 7 x 121 x 152 = 128744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/128744
Therefore, the GCF of Fractions 7244/847,3738/1064 is 2/128744
Least Common Multiple of 847,1064 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 847,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,1064) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(847,1064) x common factors =7 x 1 = 7
LCM(847,1064) = ( 847 × 1064 ) / 7
LCM(847,1064) = 901208 / 7
LCM(847,1064) = 128744
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FAQs on GCF of Fractions of 7244/847, 3738/1064
1. What is the HCF of 7244,3738?
The HCF of 7244,3738 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 7244/847, 3738/1064?
Answer: GCF of Numerators as per given numbers 7244/847, 3738/1064 is
GCF of Numerators i.e. for 7244,3738 is 2
LCM of denominators i.e. for 847,1064 is 128744.
Thus, GCF of Fractions is 2/128744.Finally, GCF of Fractions for 7244/847, 3738/1064 is 2/128744.