GCF of 7908/200, 1692/5896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7908/200, 1692/5896 i.e 12/147400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7908/200, 1692/5896.
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 7908/200,1692/5896?
Given fractions are 7908/200,1692/5896
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 7908/200,1692/5896, numerators are 7908,1692
Denominators are 200,5896
The GCF of 7908,1692 is 12 .
LCM of 200,5896 is 147400.
The greatest common factor of 7908/200,1692/5896 = [GCF of 7908,1692]/[LCM of 200,5896]= 12/147400
Therefore, the GCF of 7908/200,1692/5896 is 12/147400.
To find the highest common factor of 7908,1692, we have to find the factors of both numbers and list the highest common factor.
The factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
The HCF of 7908,1692 is 12.
Lets's calculate GCF of 7908,1692
| 2 | 7908, 1692 |
| 2 | 3954, 846 |
| 3 | 1977, 423 |
| 659, 141 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7908,1692 By Matching Biggest Common Factor Method
Now, list down the factors of 7908
:1,2,3,4,6,12,659,1318,1977,2636,3954,7908
Now, list down the factors of 1692
:1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Greatest Common Factor
We found the factors 7908,1692 . The biggest common factor number is the GCF number.
So the greatest common factor 7908,1692 is 12.
Lets's calculate LCM of 200,5896
| 2 | 200, 5896 |
| 2 | 100, 2948 |
| 2 | 50, 1474 |
| 25, 737 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 25 x 737 = 147400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/147400
Therefore, the GCF of Fractions 7908/200,1692/5896 is 12/147400
Least Common Multiple of 200,5896 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 200,5896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,5896) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(200,5896) x common factors =8 x 1 = 8
LCM(200,5896) = ( 200 × 5896 ) / 8
LCM(200,5896) = 1179200 / 8
LCM(200,5896) = 147400
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FAQs on GCF of Fractions of 7908/200, 1692/5896
1. What is the HCF of 7908,1692?
The HCF of 7908,1692 is 12
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 7908/200, 1692/5896?
Answer: GCF of Numerators as per given numbers 7908/200, 1692/5896 is
GCF of Numerators i.e. for 7908,1692 is 12
LCM of denominators i.e. for 200,5896 is 147400.
Thus, GCF of Fractions is 12/147400.Finally, GCF of Fractions for 7908/200, 1692/5896 is 12/147400.