GCF of 6897/830, 3192/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6897/830, 3192/932 i.e 57/386780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6897/830, 3192/932.
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 6897/830,3192/932?
Given fractions are 6897/830,3192/932
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 6897/830,3192/932, numerators are 6897,3192
Denominators are 830,932
The GCF of 6897,3192 is 57 .
LCM of 830,932 is 386780.
The greatest common factor of 6897/830,3192/932 = [GCF of 6897,3192]/[LCM of 830,932]= 57/386780
Therefore, the GCF of 6897/830,3192/932 is 57/386780.
To find the highest common factor of 6897,3192, we have to find the factors of both numbers and list the highest common factor.
The factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897
The factors of 3192 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 56, 57, 76, 84, 114, 133, 152, 168, 228, 266, 399, 456, 532, 798, 1064, 1596, 3192
The HCF of 6897,3192 is 57.
Lets's calculate GCF of 6897,3192
| 3 | 6897, 3192 |
| 19 | 2299, 1064 |
| 121, 56 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 6897,3192 By Matching Biggest Common Factor Method
Now, list down the factors of 6897
:1,3,11,19,33,57,121,209,363,627,2299,6897
Now, list down the factors of 3192
:1,2,3,4,6,7,8,12,14,19,21,24,28,38,42,56,57,76,84,114,133,152,168,228,266,399,456,532,798,1064,1596,3192
Greatest Common Factor
We found the factors 6897,3192 . The biggest common factor number is the GCF number.
So the greatest common factor 6897,3192 is 57.
Lets's calculate LCM of 830,932
| 2 | 830, 932 |
| 415, 466 |
∴ So the LCM of the given numbers is 2 x 415 x 466 = 386780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/386780
Therefore, the GCF of Fractions 6897/830,3192/932 is 57/386780
Least Common Multiple of 830,932 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 830,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,932) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(830,932) x common factors =2 x 1 = 2
LCM(830,932) = ( 830 × 932 ) / 2
LCM(830,932) = 773560 / 2
LCM(830,932) = 386780
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FAQs on GCF of Fractions of 6897/830, 3192/932
1. What is the HCF of 6897,3192?
The HCF of 6897,3192 is 57
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 6897/830, 3192/932?
Answer: GCF of Numerators as per given numbers 6897/830, 3192/932 is
GCF of Numerators i.e. for 6897,3192 is 57
LCM of denominators i.e. for 830,932 is 386780.
Thus, GCF of Fractions is 57/386780.Finally, GCF of Fractions for 6897/830, 3192/932 is 57/386780.