GCF of 2192/536, 6786/938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2192/536, 6786/938 i.e 2/3752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2192/536, 6786/938.
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 2192/536,6786/938?
Given fractions are 2192/536,6786/938
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 2192/536,6786/938, numerators are 2192,6786
Denominators are 536,938
The GCF of 2192,6786 is 2 .
LCM of 536,938 is 3752.
The greatest common factor of 2192/536,6786/938 = [GCF of 2192,6786]/[LCM of 536,938]= 2/3752
Therefore, the GCF of 2192/536,6786/938 is 2/3752.
To find the highest common factor of 2192,6786, we have to find the factors of both numbers and list the highest common factor.
The factors of 2192 are 1, 2, 4, 8, 16, 137, 274, 548, 1096, 2192
The factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786
The HCF of 2192,6786 is 2.
Lets's calculate GCF of 2192,6786
| 2 | 2192, 6786 |
| 1096, 3393 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2192,6786 By Matching Biggest Common Factor Method
Now, list down the factors of 2192
:1,2,4,8,16,137,274,548,1096,2192
Now, list down the factors of 6786
:1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786
Greatest Common Factor
We found the factors 2192,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 2192,6786 is 2.
Lets's calculate LCM of 536,938
| 2 | 536, 938 |
| 67 | 268, 469 |
| 4, 7 |
∴ So the LCM of the given numbers is 2 x 67 x 4 x 7 = 3752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3752
Therefore, the GCF of Fractions 2192/536,6786/938 is 2/3752
Least Common Multiple of 536,938 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 536,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,938) = 134
common factors(in case of two or more numbers have common factors) = 1
GCF(536,938) x common factors =134 x 1 = 134
LCM(536,938) = ( 536 × 938 ) / 134
LCM(536,938) = 502768 / 134
LCM(536,938) = 3752
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FAQs on GCF of Fractions of 2192/536, 6786/938
1. What is the HCF of 2192,6786?
The HCF of 2192,6786 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 2192/536, 6786/938?
Answer: GCF of Numerators as per given numbers 2192/536, 6786/938 is
GCF of Numerators i.e. for 2192,6786 is 2
LCM of denominators i.e. for 536,938 is 3752.
Thus, GCF of Fractions is 2/3752.Finally, GCF of Fractions for 2192/536, 6786/938 is 2/3752.