GCF of 5698/344, 2607/1501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5698/344, 2607/1501 i.e 11/516344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5698/344, 2607/1501.
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 5698/344,2607/1501?
Given fractions are 5698/344,2607/1501
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 5698/344,2607/1501, numerators are 5698,2607
Denominators are 344,1501
The GCF of 5698,2607 is 11 .
LCM of 344,1501 is 516344.
The greatest common factor of 5698/344,2607/1501 = [GCF of 5698,2607]/[LCM of 344,1501]= 11/516344
Therefore, the GCF of 5698/344,2607/1501 is 11/516344.
To find the highest common factor of 5698,2607, we have to find the factors of both numbers and list the highest common factor.
The factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698
The factors of 2607 are 1, 3, 11, 33, 79, 237, 869, 2607
The HCF of 5698,2607 is 11.
Lets's calculate GCF of 5698,2607
| 11 | 5698, 2607 |
| 518, 237 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 5698,2607 By Matching Biggest Common Factor Method
Now, list down the factors of 5698
:1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698
Now, list down the factors of 2607
:1,3,11,33,79,237,869,2607
Greatest Common Factor
We found the factors 5698,2607 . The biggest common factor number is the GCF number.
So the greatest common factor 5698,2607 is 11.
Lets's calculate LCM of 344,1501
Given numbers has no common factors except 1. So, there LCM is their product i.e 516344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/516344
Therefore, the GCF of Fractions 5698/344,2607/1501 is 11/516344
Least Common Multiple of 344,1501 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 344,1501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,1501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,1501) x common factors =1 x 1 = 1
LCM(344,1501) = ( 344 × 1501 ) / 1
LCM(344,1501) = 516344 / 1
LCM(344,1501) = 516344
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FAQs on GCF of Fractions of 5698/344, 2607/1501
1. What is the HCF of 5698,2607?
The HCF of 5698,2607 is 11
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 5698/344, 2607/1501?
Answer: GCF of Numerators as per given numbers 5698/344, 2607/1501 is
GCF of Numerators i.e. for 5698,2607 is 11
LCM of denominators i.e. for 344,1501 is 516344.
Thus, GCF of Fractions is 11/516344.Finally, GCF of Fractions for 5698/344, 2607/1501 is 11/516344.