GCF of 1276/692, 6667/8043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1276/692, 6667/8043 i.e 1/5565756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1276/692, 6667/8043.
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 1276/692,6667/8043?
Given fractions are 1276/692,6667/8043
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 1276/692,6667/8043, numerators are 1276,6667
Denominators are 692,8043
The GCF of 1276,6667 is 1 .
LCM of 692,8043 is 5565756.
The greatest common factor of 1276/692,6667/8043 = [GCF of 1276,6667]/[LCM of 692,8043]= 1/5565756
Therefore, the GCF of 1276/692,6667/8043 is 1/5565756.
To find the highest common factor of 1276,6667, we have to find the factors of both numbers and list the highest common factor.
The factors of 1276 are 1, 2, 4, 11, 22, 29, 44, 58, 116, 319, 638, 1276
The factors of 6667 are 1, 59, 113, 6667
The HCF of 1276,6667 is 1.
Lets's calculate GCF of 1276,6667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1276,6667 By Matching Biggest Common Factor Method
Now, list down the factors of 1276
:1,2,4,11,22,29,44,58,116,319,638,1276
Now, list down the factors of 6667
:1,59,113,6667
Greatest Common Factor
We found the factors 1276,6667 . The biggest common factor number is the GCF number.
So the greatest common factor 1276,6667 is 1.
Lets's calculate LCM of 692,8043
Given numbers has no common factors except 1. So, there LCM is their product i.e 5565756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5565756
Therefore, the GCF of Fractions 1276/692,6667/8043 is 1/5565756
Least Common Multiple of 692,8043 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 692,8043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,8043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,8043) x common factors =1 x 1 = 1
LCM(692,8043) = ( 692 × 8043 ) / 1
LCM(692,8043) = 5565756 / 1
LCM(692,8043) = 5565756
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FAQs on GCF of Fractions of 1276/692, 6667/8043
1. What is the HCF of 1276,6667?
The HCF of 1276,6667 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 1276/692, 6667/8043?
Answer: GCF of Numerators as per given numbers 1276/692, 6667/8043 is
GCF of Numerators i.e. for 1276,6667 is 1
LCM of denominators i.e. for 692,8043 is 5565756.
Thus, GCF of Fractions is 1/5565756.Finally, GCF of Fractions for 1276/692, 6667/8043 is 1/5565756.