GCF of 8208/511, 8521/2552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8208/511, 8521/2552 i.e 1/1304072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8208/511, 8521/2552.
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 8208/511,8521/2552?
Given fractions are 8208/511,8521/2552
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 8208/511,8521/2552, numerators are 8208,8521
Denominators are 511,2552
The GCF of 8208,8521 is 1 .
LCM of 511,2552 is 1304072.
The greatest common factor of 8208/511,8521/2552 = [GCF of 8208,8521]/[LCM of 511,2552]= 1/1304072
Therefore, the GCF of 8208/511,8521/2552 is 1/1304072.
To find the highest common factor of 8208,8521, we have to find the factors of both numbers and list the highest common factor.
The factors of 8208 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 108, 114, 144, 152, 171, 216, 228, 304, 342, 432, 456, 513, 684, 912, 1026, 1368, 2052, 2736, 4104, 8208
The factors of 8521 are 1, 8521
The HCF of 8208,8521 is 1.
Lets's calculate GCF of 8208,8521
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8208,8521 By Matching Biggest Common Factor Method
Now, list down the factors of 8208
:1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208
Now, list down the factors of 8521
:1,8521
Greatest Common Factor
We found the factors 8208,8521 . The biggest common factor number is the GCF number.
So the greatest common factor 8208,8521 is 1.
Lets's calculate LCM of 511,2552
Given numbers has no common factors except 1. So, there LCM is their product i.e 1304072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1304072
Therefore, the GCF of Fractions 8208/511,8521/2552 is 1/1304072
Least Common Multiple of 511,2552 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 511,2552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,2552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,2552) x common factors =1 x 1 = 1
LCM(511,2552) = ( 511 × 2552 ) / 1
LCM(511,2552) = 1304072 / 1
LCM(511,2552) = 1304072
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FAQs on GCF of Fractions of 8208/511, 8521/2552
1. What is the HCF of 8208,8521?
The HCF of 8208,8521 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 8208/511, 8521/2552?
Answer: GCF of Numerators as per given numbers 8208/511, 8521/2552 is
GCF of Numerators i.e. for 8208,8521 is 1
LCM of denominators i.e. for 511,2552 is 1304072.
Thus, GCF of Fractions is 1/1304072.Finally, GCF of Fractions for 8208/511, 8521/2552 is 1/1304072.