GCF of 1008/358, 7583/3297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1008/358, 7583/3297 i.e 1/1180326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1008/358, 7583/3297.
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 1008/358,7583/3297?
Given fractions are 1008/358,7583/3297
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 1008/358,7583/3297, numerators are 1008,7583
Denominators are 358,3297
The GCF of 1008,7583 is 1 .
LCM of 358,3297 is 1180326.
The greatest common factor of 1008/358,7583/3297 = [GCF of 1008,7583]/[LCM of 358,3297]= 1/1180326
Therefore, the GCF of 1008/358,7583/3297 is 1/1180326.
To find the highest common factor of 1008,7583, we have to find the factors of both numbers and list the highest common factor.
The factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008
The factors of 7583 are 1, 7583
The HCF of 1008,7583 is 1.
Lets's calculate GCF of 1008,7583
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1008,7583 By Matching Biggest Common Factor Method
Now, list down the factors of 1008
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008
Now, list down the factors of 7583
:1,7583
Greatest Common Factor
We found the factors 1008,7583 . The biggest common factor number is the GCF number.
So the greatest common factor 1008,7583 is 1.
Lets's calculate LCM of 358,3297
Given numbers has no common factors except 1. So, there LCM is their product i.e 1180326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1180326
Therefore, the GCF of Fractions 1008/358,7583/3297 is 1/1180326
Least Common Multiple of 358,3297 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 358,3297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,3297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,3297) x common factors =1 x 1 = 1
LCM(358,3297) = ( 358 × 3297 ) / 1
LCM(358,3297) = 1180326 / 1
LCM(358,3297) = 1180326
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FAQs on GCF of Fractions of 1008/358, 7583/3297
1. What is the HCF of 1008,7583?
The HCF of 1008,7583 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 1008/358, 7583/3297?
Answer: GCF of Numerators as per given numbers 1008/358, 7583/3297 is
GCF of Numerators i.e. for 1008,7583 is 1
LCM of denominators i.e. for 358,3297 is 1180326.
Thus, GCF of Fractions is 1/1180326.Finally, GCF of Fractions for 1008/358, 7583/3297 is 1/1180326.