GCF of 9199/749, 6888/5597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9199/749, 6888/5597 i.e 1/4192153 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9199/749, 6888/5597.
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 9199/749,6888/5597?
Given fractions are 9199/749,6888/5597
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 9199/749,6888/5597, numerators are 9199,6888
Denominators are 749,5597
The GCF of 9199,6888 is 1 .
LCM of 749,5597 is 4192153.
The greatest common factor of 9199/749,6888/5597 = [GCF of 9199,6888]/[LCM of 749,5597]= 1/4192153
Therefore, the GCF of 9199/749,6888/5597 is 1/4192153.
To find the highest common factor of 9199,6888, we have to find the factors of both numbers and list the highest common factor.
The factors of 9199 are 1, 9199
The factors of 6888 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888
The HCF of 9199,6888 is 1.
Lets's calculate GCF of 9199,6888
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9199,6888 By Matching Biggest Common Factor Method
Now, list down the factors of 9199
:1,9199
Now, list down the factors of 6888
:1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888
Greatest Common Factor
We found the factors 9199,6888 . The biggest common factor number is the GCF number.
So the greatest common factor 9199,6888 is 1.
Lets's calculate LCM of 749,5597
Given numbers has no common factors except 1. So, there LCM is their product i.e 4192153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4192153
Therefore, the GCF of Fractions 9199/749,6888/5597 is 1/4192153
Least Common Multiple of 749,5597 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 749,5597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,5597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,5597) x common factors =1 x 1 = 1
LCM(749,5597) = ( 749 × 5597 ) / 1
LCM(749,5597) = 4192153 / 1
LCM(749,5597) = 4192153
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FAQs on GCF of Fractions of 9199/749, 6888/5597
1. What is the HCF of 9199,6888?
The HCF of 9199,6888 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 9199/749, 6888/5597?
Answer: GCF of Numerators as per given numbers 9199/749, 6888/5597 is
GCF of Numerators i.e. for 9199,6888 is 1
LCM of denominators i.e. for 749,5597 is 4192153.
Thus, GCF of Fractions is 1/4192153.Finally, GCF of Fractions for 9199/749, 6888/5597 is 1/4192153.