GCF of 9778/229, 6597/312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9778/229, 6597/312 i.e 1/71448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9778/229, 6597/312.
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 9778/229,6597/312?
Given fractions are 9778/229,6597/312
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 9778/229,6597/312, numerators are 9778,6597
Denominators are 229,312
The GCF of 9778,6597 is 1 .
LCM of 229,312 is 71448.
The greatest common factor of 9778/229,6597/312 = [GCF of 9778,6597]/[LCM of 229,312]= 1/71448
Therefore, the GCF of 9778/229,6597/312 is 1/71448.
To find the highest common factor of 9778,6597, we have to find the factors of both numbers and list the highest common factor.
The factors of 9778 are 1, 2, 4889, 9778
The factors of 6597 are 1, 3, 9, 733, 2199, 6597
The HCF of 9778,6597 is 1.
Lets's calculate GCF of 9778,6597
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9778,6597 By Matching Biggest Common Factor Method
Now, list down the factors of 9778
:1,2,4889,9778
Now, list down the factors of 6597
:1,3,9,733,2199,6597
Greatest Common Factor
We found the factors 9778,6597 . The biggest common factor number is the GCF number.
So the greatest common factor 9778,6597 is 1.
Lets's calculate LCM of 229,312
Given numbers has no common factors except 1. So, there LCM is their product i.e 71448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71448
Therefore, the GCF of Fractions 9778/229,6597/312 is 1/71448
Least Common Multiple of 229,312 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 229,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,312) x common factors =1 x 1 = 1
LCM(229,312) = ( 229 × 312 ) / 1
LCM(229,312) = 71448 / 1
LCM(229,312) = 71448
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FAQs on GCF of Fractions of 9778/229, 6597/312
1. What is the HCF of 9778,6597?
The HCF of 9778,6597 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 9778/229, 6597/312?
Answer: GCF of Numerators as per given numbers 9778/229, 6597/312 is
GCF of Numerators i.e. for 9778,6597 is 1
LCM of denominators i.e. for 229,312 is 71448.
Thus, GCF of Fractions is 1/71448.Finally, GCF of Fractions for 9778/229, 6597/312 is 1/71448.