GCF of 8314/999, 1352/771
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8314/999, 1352/771 i.e 2/256743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8314/999, 1352/771.
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 8314/999,1352/771?
Given fractions are 8314/999,1352/771
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 8314/999,1352/771, numerators are 8314,1352
Denominators are 999,771
The GCF of 8314,1352 is 2 .
LCM of 999,771 is 256743.
The greatest common factor of 8314/999,1352/771 = [GCF of 8314,1352]/[LCM of 999,771]= 2/256743
Therefore, the GCF of 8314/999,1352/771 is 2/256743.
To find the highest common factor of 8314,1352, we have to find the factors of both numbers and list the highest common factor.
The factors of 8314 are 1, 2, 4157, 8314
The factors of 1352 are 1, 2, 4, 8, 13, 26, 52, 104, 169, 338, 676, 1352
The HCF of 8314,1352 is 2.
Lets's calculate GCF of 8314,1352
| 2 | 8314, 1352 |
| 4157, 676 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8314,1352 By Matching Biggest Common Factor Method
Now, list down the factors of 8314
:1,2,4157,8314
Now, list down the factors of 1352
:1,2,4,8,13,26,52,104,169,338,676,1352
Greatest Common Factor
We found the factors 8314,1352 . The biggest common factor number is the GCF number.
So the greatest common factor 8314,1352 is 2.
Lets's calculate LCM of 999,771
| 3 | 999, 771 |
| 333, 257 |
∴ So the LCM of the given numbers is 3 x 333 x 257 = 256743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/256743
Therefore, the GCF of Fractions 8314/999,1352/771 is 2/256743
Least Common Multiple of 999,771 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 999,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,771) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(999,771) x common factors =3 x 1 = 3
LCM(999,771) = ( 999 × 771 ) / 3
LCM(999,771) = 770229 / 3
LCM(999,771) = 256743
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FAQs on GCF of Fractions of 8314/999, 1352/771
1. What is the HCF of 8314,1352?
The HCF of 8314,1352 is 2
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 8314/999, 1352/771?
Answer: GCF of Numerators as per given numbers 8314/999, 1352/771 is
GCF of Numerators i.e. for 8314,1352 is 2
LCM of denominators i.e. for 999,771 is 256743.
Thus, GCF of Fractions is 2/256743.Finally, GCF of Fractions for 8314/999, 1352/771 is 2/256743.