GCF of 6308/884, 6623/8907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6308/884, 6623/8907 i.e 1/7873788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6308/884, 6623/8907.
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 6308/884,6623/8907?
Given fractions are 6308/884,6623/8907
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 6308/884,6623/8907, numerators are 6308,6623
Denominators are 884,8907
The GCF of 6308,6623 is 1 .
LCM of 884,8907 is 7873788.
The greatest common factor of 6308/884,6623/8907 = [GCF of 6308,6623]/[LCM of 884,8907]= 1/7873788
Therefore, the GCF of 6308/884,6623/8907 is 1/7873788.
To find the highest common factor of 6308,6623, we have to find the factors of both numbers and list the highest common factor.
The factors of 6308 are 1, 2, 4, 19, 38, 76, 83, 166, 332, 1577, 3154, 6308
The factors of 6623 are 1, 37, 179, 6623
The HCF of 6308,6623 is 1.
Lets's calculate GCF of 6308,6623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6308,6623 By Matching Biggest Common Factor Method
Now, list down the factors of 6308
:1,2,4,19,38,76,83,166,332,1577,3154,6308
Now, list down the factors of 6623
:1,37,179,6623
Greatest Common Factor
We found the factors 6308,6623 . The biggest common factor number is the GCF number.
So the greatest common factor 6308,6623 is 1.
Lets's calculate LCM of 884,8907
Given numbers has no common factors except 1. So, there LCM is their product i.e 7873788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7873788
Therefore, the GCF of Fractions 6308/884,6623/8907 is 1/7873788
Least Common Multiple of 884,8907 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 884,8907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,8907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(884,8907) x common factors =1 x 1 = 1
LCM(884,8907) = ( 884 × 8907 ) / 1
LCM(884,8907) = 7873788 / 1
LCM(884,8907) = 7873788
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FAQs on GCF of Fractions of 6308/884, 6623/8907
1. What is the HCF of 6308,6623?
The HCF of 6308,6623 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 6308/884, 6623/8907?
Answer: GCF of Numerators as per given numbers 6308/884, 6623/8907 is
GCF of Numerators i.e. for 6308,6623 is 1
LCM of denominators i.e. for 884,8907 is 7873788.
Thus, GCF of Fractions is 1/7873788.Finally, GCF of Fractions for 6308/884, 6623/8907 is 1/7873788.