GCF of 1203/782, 7668/8924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1203/782, 7668/8924 i.e 3/151708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1203/782, 7668/8924.
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 1203/782,7668/8924?
Given fractions are 1203/782,7668/8924
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 1203/782,7668/8924, numerators are 1203,7668
Denominators are 782,8924
The GCF of 1203,7668 is 3 .
LCM of 782,8924 is 151708.
The greatest common factor of 1203/782,7668/8924 = [GCF of 1203,7668]/[LCM of 782,8924]= 3/151708
Therefore, the GCF of 1203/782,7668/8924 is 3/151708.
To find the highest common factor of 1203,7668, we have to find the factors of both numbers and list the highest common factor.
The factors of 1203 are 1, 3, 401, 1203
The factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668
The HCF of 1203,7668 is 3.
Lets's calculate GCF of 1203,7668
| 3 | 1203, 7668 |
| 401, 2556 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1203,7668 By Matching Biggest Common Factor Method
Now, list down the factors of 1203
:1,3,401,1203
Now, list down the factors of 7668
:1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668
Greatest Common Factor
We found the factors 1203,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 1203,7668 is 3.
Lets's calculate LCM of 782,8924
| 2 | 782, 8924 |
| 23 | 391, 4462 |
| 17, 194 |
∴ So the LCM of the given numbers is 2 x 23 x 17 x 194 = 151708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/151708
Therefore, the GCF of Fractions 1203/782,7668/8924 is 3/151708
Least Common Multiple of 782,8924 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 782,8924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,8924) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(782,8924) x common factors =46 x 1 = 46
LCM(782,8924) = ( 782 × 8924 ) / 46
LCM(782,8924) = 6978568 / 46
LCM(782,8924) = 151708
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FAQs on GCF of Fractions of 1203/782, 7668/8924
1. What is the HCF of 1203,7668?
The HCF of 1203,7668 is 3
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 1203/782, 7668/8924?
Answer: GCF of Numerators as per given numbers 1203/782, 7668/8924 is
GCF of Numerators i.e. for 1203,7668 is 3
LCM of denominators i.e. for 782,8924 is 151708.
Thus, GCF of Fractions is 3/151708.Finally, GCF of Fractions for 1203/782, 7668/8924 is 3/151708.