GCF of 8833/530, 1276/3757
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8833/530, 1276/3757 i.e 11/1991210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8833/530, 1276/3757.
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 8833/530,1276/3757?
Given fractions are 8833/530,1276/3757
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 8833/530,1276/3757, numerators are 8833,1276
Denominators are 530,3757
The GCF of 8833,1276 is 11 .
LCM of 530,3757 is 1991210.
The greatest common factor of 8833/530,1276/3757 = [GCF of 8833,1276]/[LCM of 530,3757]= 11/1991210
Therefore, the GCF of 8833/530,1276/3757 is 11/1991210.
To find the highest common factor of 8833,1276, we have to find the factors of both numbers and list the highest common factor.
The factors of 8833 are 1, 11, 73, 121, 803, 8833
The factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276
The HCF of 8833,1276 is 11.
Lets's calculate GCF of 8833,1276
| 11 | 8833, 1276 |
| 803, 116 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8833,1276 By Matching Biggest Common Factor Method
Now, list down the factors of 8833
:1,11,73,121,803,8833
Now, list down the factors of 1276
:1,2,4,11,22,29,44,58,116,319,638,1276
Greatest Common Factor
We found the factors 8833,1276 . The biggest common factor number is the GCF number.
So the greatest common factor 8833,1276 is 11.
Lets's calculate LCM of 530,3757
Given numbers has no common factors except 1. So, there LCM is their product i.e 1991210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1991210
Therefore, the GCF of Fractions 8833/530,1276/3757 is 11/1991210
Least Common Multiple of 530,3757 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 530,3757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,3757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(530,3757) x common factors =1 x 1 = 1
LCM(530,3757) = ( 530 × 3757 ) / 1
LCM(530,3757) = 1991210 / 1
LCM(530,3757) = 1991210
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FAQs on GCF of Fractions of 8833/530, 1276/3757
1. What is the HCF of 8833,1276?
The HCF of 8833,1276 is 11
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 8833/530, 1276/3757?
Answer: GCF of Numerators as per given numbers 8833/530, 1276/3757 is
GCF of Numerators i.e. for 8833,1276 is 11
LCM of denominators i.e. for 530,3757 is 1991210.
Thus, GCF of Fractions is 11/1991210.Finally, GCF of Fractions for 8833/530, 1276/3757 is 11/1991210.