GCF of 5344/696, 5907/1892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5344/696, 5907/1892 i.e 1/329208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5344/696, 5907/1892.
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 5344/696,5907/1892?
Given fractions are 5344/696,5907/1892
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 5344/696,5907/1892, numerators are 5344,5907
Denominators are 696,1892
The GCF of 5344,5907 is 1 .
LCM of 696,1892 is 329208.
The greatest common factor of 5344/696,5907/1892 = [GCF of 5344,5907]/[LCM of 696,1892]= 1/329208
Therefore, the GCF of 5344/696,5907/1892 is 1/329208.
To find the highest common factor of 5344,5907, we have to find the factors of both numbers and list the highest common factor.
The factors of 5344 are 1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344
The factors of 5907 are 1, 3, 11, 33, 179, 537, 1969, 5907
The HCF of 5344,5907 is 1.
Lets's calculate GCF of 5344,5907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5344,5907 By Matching Biggest Common Factor Method
Now, list down the factors of 5344
:1,2,4,8,16,32,167,334,668,1336,2672,5344
Now, list down the factors of 5907
:1,3,11,33,179,537,1969,5907
Greatest Common Factor
We found the factors 5344,5907 . The biggest common factor number is the GCF number.
So the greatest common factor 5344,5907 is 1.
Lets's calculate LCM of 696,1892
| 2 | 696, 1892 |
| 2 | 348, 946 |
| 174, 473 |
∴ So the LCM of the given numbers is 2 x 2 x 174 x 473 = 329208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329208
Therefore, the GCF of Fractions 5344/696,5907/1892 is 1/329208
Least Common Multiple of 696,1892 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 696,1892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,1892) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(696,1892) x common factors =4 x 1 = 4
LCM(696,1892) = ( 696 × 1892 ) / 4
LCM(696,1892) = 1316832 / 4
LCM(696,1892) = 329208
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FAQs on GCF of Fractions of 5344/696, 5907/1892
1. What is the HCF of 5344,5907?
The HCF of 5344,5907 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 5344/696, 5907/1892?
Answer: GCF of Numerators as per given numbers 5344/696, 5907/1892 is
GCF of Numerators i.e. for 5344,5907 is 1
LCM of denominators i.e. for 696,1892 is 329208.
Thus, GCF of Fractions is 1/329208.Finally, GCF of Fractions for 5344/696, 5907/1892 is 1/329208.