GCF of 5648/410, 3738/4693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5648/410, 3738/4693 i.e 2/1924130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5648/410, 3738/4693.
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 5648/410,3738/4693?
Given fractions are 5648/410,3738/4693
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 5648/410,3738/4693, numerators are 5648,3738
Denominators are 410,4693
The GCF of 5648,3738 is 2 .
LCM of 410,4693 is 1924130.
The greatest common factor of 5648/410,3738/4693 = [GCF of 5648,3738]/[LCM of 410,4693]= 2/1924130
Therefore, the GCF of 5648/410,3738/4693 is 2/1924130.
To find the highest common factor of 5648,3738, we have to find the factors of both numbers and list the highest common factor.
The factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648
The factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738
The HCF of 5648,3738 is 2.
Lets's calculate GCF of 5648,3738
| 2 | 5648, 3738 |
| 2824, 1869 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5648,3738 By Matching Biggest Common Factor Method
Now, list down the factors of 5648
:1,2,4,8,16,353,706,1412,2824,5648
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 5648,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 5648,3738 is 2.
Lets's calculate LCM of 410,4693
Given numbers has no common factors except 1. So, there LCM is their product i.e 1924130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1924130
Therefore, the GCF of Fractions 5648/410,3738/4693 is 2/1924130
Least Common Multiple of 410,4693 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 410,4693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,4693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(410,4693) x common factors =1 x 1 = 1
LCM(410,4693) = ( 410 × 4693 ) / 1
LCM(410,4693) = 1924130 / 1
LCM(410,4693) = 1924130
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FAQs on GCF of Fractions of 5648/410, 3738/4693
1. What is the HCF of 5648,3738?
The HCF of 5648,3738 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 5648/410, 3738/4693?
Answer: GCF of Numerators as per given numbers 5648/410, 3738/4693 is
GCF of Numerators i.e. for 5648,3738 is 2
LCM of denominators i.e. for 410,4693 is 1924130.
Thus, GCF of Fractions is 2/1924130.Finally, GCF of Fractions for 5648/410, 3738/4693 is 2/1924130.