GCF of 5507/613, 9207/6914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5507/613, 9207/6914 i.e 1/4238282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5507/613, 9207/6914.
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 5507/613,9207/6914?
Given fractions are 5507/613,9207/6914
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 5507/613,9207/6914, numerators are 5507,9207
Denominators are 613,6914
The GCF of 5507,9207 is 1 .
LCM of 613,6914 is 4238282.
The greatest common factor of 5507/613,9207/6914 = [GCF of 5507,9207]/[LCM of 613,6914]= 1/4238282
Therefore, the GCF of 5507/613,9207/6914 is 1/4238282.
To find the highest common factor of 5507,9207, we have to find the factors of both numbers and list the highest common factor.
The factors of 5507 are 1, 5507
The factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207
The HCF of 5507,9207 is 1.
Lets's calculate GCF of 5507,9207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5507,9207 By Matching Biggest Common Factor Method
Now, list down the factors of 5507
:1,5507
Now, list down the factors of 9207
:1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207
Greatest Common Factor
We found the factors 5507,9207 . The biggest common factor number is the GCF number.
So the greatest common factor 5507,9207 is 1.
Lets's calculate LCM of 613,6914
Given numbers has no common factors except 1. So, there LCM is their product i.e 4238282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4238282
Therefore, the GCF of Fractions 5507/613,9207/6914 is 1/4238282
Least Common Multiple of 613,6914 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 613,6914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,6914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,6914) x common factors =1 x 1 = 1
LCM(613,6914) = ( 613 × 6914 ) / 1
LCM(613,6914) = 4238282 / 1
LCM(613,6914) = 4238282
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FAQs on GCF of Fractions of 5507/613, 9207/6914
1. What is the HCF of 5507,9207?
The HCF of 5507,9207 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 5507/613, 9207/6914?
Answer: GCF of Numerators as per given numbers 5507/613, 9207/6914 is
GCF of Numerators i.e. for 5507,9207 is 1
LCM of denominators i.e. for 613,6914 is 4238282.
Thus, GCF of Fractions is 1/4238282.Finally, GCF of Fractions for 5507/613, 9207/6914 is 1/4238282.