GCF of 1012/508, 1304/5679
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1012/508, 1304/5679 i.e 4/2884932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1012/508, 1304/5679.
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 1012/508,1304/5679?
Given fractions are 1012/508,1304/5679
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 1012/508,1304/5679, numerators are 1012,1304
Denominators are 508,5679
The GCF of 1012,1304 is 4 .
LCM of 508,5679 is 2884932.
The greatest common factor of 1012/508,1304/5679 = [GCF of 1012,1304]/[LCM of 508,5679]= 4/2884932
Therefore, the GCF of 1012/508,1304/5679 is 4/2884932.
To find the highest common factor of 1012,1304, we have to find the factors of both numbers and list the highest common factor.
The factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012
The factors of 1304 are 1, 2, 4, 8, 163, 326, 652, 1304
The HCF of 1012,1304 is 4.
Lets's calculate GCF of 1012,1304
| 2 | 1012, 1304 |
| 2 | 506, 652 |
| 253, 326 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1012,1304 By Matching Biggest Common Factor Method
Now, list down the factors of 1012
:1,2,4,11,22,23,44,46,92,253,506,1012
Now, list down the factors of 1304
:1,2,4,8,163,326,652,1304
Greatest Common Factor
We found the factors 1012,1304 . The biggest common factor number is the GCF number.
So the greatest common factor 1012,1304 is 4.
Lets's calculate LCM of 508,5679
Given numbers has no common factors except 1. So, there LCM is their product i.e 2884932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2884932
Therefore, the GCF of Fractions 1012/508,1304/5679 is 4/2884932
Least Common Multiple of 508,5679 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 508,5679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,5679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,5679) x common factors =1 x 1 = 1
LCM(508,5679) = ( 508 × 5679 ) / 1
LCM(508,5679) = 2884932 / 1
LCM(508,5679) = 2884932
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FAQs on GCF of Fractions of 1012/508, 1304/5679
1. What is the HCF of 1012,1304?
The HCF of 1012,1304 is 4
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 1012/508, 1304/5679?
Answer: GCF of Numerators as per given numbers 1012/508, 1304/5679 is
GCF of Numerators i.e. for 1012,1304 is 4
LCM of denominators i.e. for 508,5679 is 2884932.
Thus, GCF of Fractions is 4/2884932.Finally, GCF of Fractions for 1012/508, 1304/5679 is 4/2884932.