GCF of 8272/898, 3419/6713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8272/898, 3419/6713 i.e 1/6028274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8272/898, 3419/6713.
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 8272/898,3419/6713?
Given fractions are 8272/898,3419/6713
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 8272/898,3419/6713, numerators are 8272,3419
Denominators are 898,6713
The GCF of 8272,3419 is 1 .
LCM of 898,6713 is 6028274.
The greatest common factor of 8272/898,3419/6713 = [GCF of 8272,3419]/[LCM of 898,6713]= 1/6028274
Therefore, the GCF of 8272/898,3419/6713 is 1/6028274.
To find the highest common factor of 8272,3419, we have to find the factors of both numbers and list the highest common factor.
The factors of 8272 are 1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272
The factors of 3419 are 1, 13, 263, 3419
The HCF of 8272,3419 is 1.
Lets's calculate GCF of 8272,3419
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8272,3419 By Matching Biggest Common Factor Method
Now, list down the factors of 8272
:1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272
Now, list down the factors of 3419
:1,13,263,3419
Greatest Common Factor
We found the factors 8272,3419 . The biggest common factor number is the GCF number.
So the greatest common factor 8272,3419 is 1.
Lets's calculate LCM of 898,6713
Given numbers has no common factors except 1. So, there LCM is their product i.e 6028274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6028274
Therefore, the GCF of Fractions 8272/898,3419/6713 is 1/6028274
Least Common Multiple of 898,6713 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 898,6713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,6713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(898,6713) x common factors =1 x 1 = 1
LCM(898,6713) = ( 898 × 6713 ) / 1
LCM(898,6713) = 6028274 / 1
LCM(898,6713) = 6028274
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FAQs on GCF of Fractions of 8272/898, 3419/6713
1. What is the HCF of 8272,3419?
The HCF of 8272,3419 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 8272/898, 3419/6713?
Answer: GCF of Numerators as per given numbers 8272/898, 3419/6713 is
GCF of Numerators i.e. for 8272,3419 is 1
LCM of denominators i.e. for 898,6713 is 6028274.
Thus, GCF of Fractions is 1/6028274.Finally, GCF of Fractions for 8272/898, 3419/6713 is 1/6028274.