GCF of 1142/828, 9598/1792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1142/828, 9598/1792 i.e 2/370944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1142/828, 9598/1792.
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 1142/828,9598/1792?
Given fractions are 1142/828,9598/1792
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 1142/828,9598/1792, numerators are 1142,9598
Denominators are 828,1792
The GCF of 1142,9598 is 2 .
LCM of 828,1792 is 370944.
The greatest common factor of 1142/828,9598/1792 = [GCF of 1142,9598]/[LCM of 828,1792]= 2/370944
Therefore, the GCF of 1142/828,9598/1792 is 2/370944.
To find the highest common factor of 1142,9598, we have to find the factors of both numbers and list the highest common factor.
The factors of 1142 are 1, 2, 571, 1142
The factors of 9598 are 1, 2, 4799, 9598
The HCF of 1142,9598 is 2.
Lets's calculate GCF of 1142,9598
| 2 | 1142, 9598 |
| 571, 4799 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1142,9598 By Matching Biggest Common Factor Method
Now, list down the factors of 1142
:1,2,571,1142
Now, list down the factors of 9598
:1,2,4799,9598
Greatest Common Factor
We found the factors 1142,9598 . The biggest common factor number is the GCF number.
So the greatest common factor 1142,9598 is 2.
Lets's calculate LCM of 828,1792
| 2 | 828, 1792 |
| 2 | 414, 896 |
| 207, 448 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 448 = 370944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/370944
Therefore, the GCF of Fractions 1142/828,9598/1792 is 2/370944
Least Common Multiple of 828,1792 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 828,1792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,1792) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,1792) x common factors =4 x 1 = 4
LCM(828,1792) = ( 828 × 1792 ) / 4
LCM(828,1792) = 1483776 / 4
LCM(828,1792) = 370944
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FAQs on GCF of Fractions of 1142/828, 9598/1792
1. What is the HCF of 1142,9598?
The HCF of 1142,9598 is 2
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 1142/828, 9598/1792?
Answer: GCF of Numerators as per given numbers 1142/828, 9598/1792 is
GCF of Numerators i.e. for 1142,9598 is 2
LCM of denominators i.e. for 828,1792 is 370944.
Thus, GCF of Fractions is 2/370944.Finally, GCF of Fractions for 1142/828, 9598/1792 is 2/370944.