GCF of 1123/624, 4046/308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1123/624, 4046/308 i.e 1/48048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1123/624, 4046/308.
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 1123/624,4046/308?
Given fractions are 1123/624,4046/308
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 1123/624,4046/308, numerators are 1123,4046
Denominators are 624,308
The GCF of 1123,4046 is 1 .
LCM of 624,308 is 48048.
The greatest common factor of 1123/624,4046/308 = [GCF of 1123,4046]/[LCM of 624,308]= 1/48048
Therefore, the GCF of 1123/624,4046/308 is 1/48048.
To find the highest common factor of 1123,4046, we have to find the factors of both numbers and list the highest common factor.
The factors of 1123 are 1, 1123
The factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046
The HCF of 1123,4046 is 1.
Lets's calculate GCF of 1123,4046
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1123,4046 By Matching Biggest Common Factor Method
Now, list down the factors of 1123
:1,1123
Now, list down the factors of 4046
:1,2,7,14,17,34,119,238,289,578,2023,4046
Greatest Common Factor
We found the factors 1123,4046 . The biggest common factor number is the GCF number.
So the greatest common factor 1123,4046 is 1.
Lets's calculate LCM of 624,308
| 2 | 624, 308 |
| 2 | 312, 154 |
| 156, 77 |
∴ So the LCM of the given numbers is 2 x 2 x 156 x 77 = 48048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48048
Therefore, the GCF of Fractions 1123/624,4046/308 is 1/48048
Least Common Multiple of 624,308 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 624,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,308) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(624,308) x common factors =4 x 1 = 4
LCM(624,308) = ( 624 × 308 ) / 4
LCM(624,308) = 192192 / 4
LCM(624,308) = 48048
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FAQs on GCF of Fractions of 1123/624, 4046/308
1. What is the HCF of 1123,4046?
The HCF of 1123,4046 is 1
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 1123/624, 4046/308?
Answer: GCF of Numerators as per given numbers 1123/624, 4046/308 is
GCF of Numerators i.e. for 1123,4046 is 1
LCM of denominators i.e. for 624,308 is 48048.
Thus, GCF of Fractions is 1/48048.Finally, GCF of Fractions for 1123/624, 4046/308 is 1/48048.