GCF of 6828/932, 6004/3104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6828/932, 6004/3104 i.e 4/723232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6828/932, 6004/3104.
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 6828/932,6004/3104?
Given fractions are 6828/932,6004/3104
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 6828/932,6004/3104, numerators are 6828,6004
Denominators are 932,3104
The GCF of 6828,6004 is 4 .
LCM of 932,3104 is 723232.
The greatest common factor of 6828/932,6004/3104 = [GCF of 6828,6004]/[LCM of 932,3104]= 4/723232
Therefore, the GCF of 6828/932,6004/3104 is 4/723232.
To find the highest common factor of 6828,6004, we have to find the factors of both numbers and list the highest common factor.
The factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828
The factors of 6004 are 1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004
The HCF of 6828,6004 is 4.
Lets's calculate GCF of 6828,6004
| 2 | 6828, 6004 |
| 2 | 3414, 3002 |
| 1707, 1501 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6828,6004 By Matching Biggest Common Factor Method
Now, list down the factors of 6828
:1,2,3,4,6,12,569,1138,1707,2276,3414,6828
Now, list down the factors of 6004
:1,2,4,19,38,76,79,158,316,1501,3002,6004
Greatest Common Factor
We found the factors 6828,6004 . The biggest common factor number is the GCF number.
So the greatest common factor 6828,6004 is 4.
Lets's calculate LCM of 932,3104
| 2 | 932, 3104 |
| 2 | 466, 1552 |
| 233, 776 |
∴ So the LCM of the given numbers is 2 x 2 x 233 x 776 = 723232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/723232
Therefore, the GCF of Fractions 6828/932,6004/3104 is 4/723232
Least Common Multiple of 932,3104 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 932,3104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,3104) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(932,3104) x common factors =4 x 1 = 4
LCM(932,3104) = ( 932 × 3104 ) / 4
LCM(932,3104) = 2892928 / 4
LCM(932,3104) = 723232
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FAQs on GCF of Fractions of 6828/932, 6004/3104
1. What is the HCF of 6828,6004?
The HCF of 6828,6004 is 4
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 6828/932, 6004/3104?
Answer: GCF of Numerators as per given numbers 6828/932, 6004/3104 is
GCF of Numerators i.e. for 6828,6004 is 4
LCM of denominators i.e. for 932,3104 is 723232.
Thus, GCF of Fractions is 4/723232.Finally, GCF of Fractions for 6828/932, 6004/3104 is 4/723232.