GCF of 6867/970, 8736/427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6867/970, 8736/427 i.e 21/414190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6867/970, 8736/427.
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 6867/970,8736/427?
Given fractions are 6867/970,8736/427
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 6867/970,8736/427, numerators are 6867,8736
Denominators are 970,427
The GCF of 6867,8736 is 21 .
LCM of 970,427 is 414190.
The greatest common factor of 6867/970,8736/427 = [GCF of 6867,8736]/[LCM of 970,427]= 21/414190
Therefore, the GCF of 6867/970,8736/427 is 21/414190.
To find the highest common factor of 6867,8736, we have to find the factors of both numbers and list the highest common factor.
The factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867
The factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736
The HCF of 6867,8736 is 21.
Lets's calculate GCF of 6867,8736
| 3 | 6867, 8736 |
| 7 | 2289, 2912 |
| 327, 416 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 6867,8736 By Matching Biggest Common Factor Method
Now, list down the factors of 6867
:1,3,7,9,21,63,109,327,763,981,2289,6867
Now, list down the factors of 8736
:1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,32,39,42,48,52,56,78,84,91,96,104,112,156,168,182,208,224,273,312,336,364,416,546,624,672,728,1092,1248,1456,2184,2912,4368,8736
Greatest Common Factor
We found the factors 6867,8736 . The biggest common factor number is the GCF number.
So the greatest common factor 6867,8736 is 21.
Lets's calculate LCM of 970,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 414190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/414190
Therefore, the GCF of Fractions 6867/970,8736/427 is 21/414190
Least Common Multiple of 970,427 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 970,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,427) x common factors =1 x 1 = 1
LCM(970,427) = ( 970 × 427 ) / 1
LCM(970,427) = 414190 / 1
LCM(970,427) = 414190
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FAQs on GCF of Fractions of 6867/970, 8736/427
1. What is the HCF of 6867,8736?
The HCF of 6867,8736 is 21
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 6867/970, 8736/427?
Answer: GCF of Numerators as per given numbers 6867/970, 8736/427 is
GCF of Numerators i.e. for 6867,8736 is 21
LCM of denominators i.e. for 970,427 is 414190.
Thus, GCF of Fractions is 21/414190.Finally, GCF of Fractions for 6867/970, 8736/427 is 21/414190.