GCF of 8908/279, 6970/2871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8908/279, 6970/2871 i.e 34/89001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8908/279, 6970/2871.
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 8908/279,6970/2871?
Given fractions are 8908/279,6970/2871
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 8908/279,6970/2871, numerators are 8908,6970
Denominators are 279,2871
The GCF of 8908,6970 is 34 .
LCM of 279,2871 is 89001.
The greatest common factor of 8908/279,6970/2871 = [GCF of 8908,6970]/[LCM of 279,2871]= 34/89001
Therefore, the GCF of 8908/279,6970/2871 is 34/89001.
To find the highest common factor of 8908,6970, we have to find the factors of both numbers and list the highest common factor.
The factors of 8908 are 1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454, 8908
The factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970
The HCF of 8908,6970 is 34.
Lets's calculate GCF of 8908,6970
| 2 | 8908, 6970 |
| 17 | 4454, 3485 |
| 262, 205 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 8908,6970 By Matching Biggest Common Factor Method
Now, list down the factors of 8908
:1,2,4,17,34,68,131,262,524,2227,4454,8908
Now, list down the factors of 6970
:1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970
Greatest Common Factor
We found the factors 8908,6970 . The biggest common factor number is the GCF number.
So the greatest common factor 8908,6970 is 34.
Lets's calculate LCM of 279,2871
| 3 | 279, 2871 |
| 3 | 93, 957 |
| 31, 319 |
∴ So the LCM of the given numbers is 3 x 3 x 31 x 319 = 89001
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/89001
Therefore, the GCF of Fractions 8908/279,6970/2871 is 34/89001
Least Common Multiple of 279,2871 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 279,2871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,2871) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(279,2871) x common factors =9 x 1 = 9
LCM(279,2871) = ( 279 × 2871 ) / 9
LCM(279,2871) = 801009 / 9
LCM(279,2871) = 89001
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FAQs on GCF of Fractions of 8908/279, 6970/2871
1. What is the HCF of 8908,6970?
The HCF of 8908,6970 is 34
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 8908/279, 6970/2871?
Answer: GCF of Numerators as per given numbers 8908/279, 6970/2871 is
GCF of Numerators i.e. for 8908,6970 is 34
LCM of denominators i.e. for 279,2871 is 89001.
Thus, GCF of Fractions is 34/89001.Finally, GCF of Fractions for 8908/279, 6970/2871 is 34/89001.