GCF of 6629/851, 1878/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6629/851, 1878/675 i.e 1/574425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6629/851, 1878/675.
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 6629/851,1878/675?
Given fractions are 6629/851,1878/675
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 6629/851,1878/675, numerators are 6629,1878
Denominators are 851,675
The GCF of 6629,1878 is 1 .
LCM of 851,675 is 574425.
The greatest common factor of 6629/851,1878/675 = [GCF of 6629,1878]/[LCM of 851,675]= 1/574425
Therefore, the GCF of 6629/851,1878/675 is 1/574425.
To find the highest common factor of 6629,1878, we have to find the factors of both numbers and list the highest common factor.
The factors of 6629 are 1, 7, 947, 6629
The factors of 1878 are 1, 2, 3, 6, 313, 626, 939, 1878
The HCF of 6629,1878 is 1.
Lets's calculate GCF of 6629,1878
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6629,1878 By Matching Biggest Common Factor Method
Now, list down the factors of 6629
:1,7,947,6629
Now, list down the factors of 1878
:1,2,3,6,313,626,939,1878
Greatest Common Factor
We found the factors 6629,1878 . The biggest common factor number is the GCF number.
So the greatest common factor 6629,1878 is 1.
Lets's calculate LCM of 851,675
Given numbers has no common factors except 1. So, there LCM is their product i.e 574425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/574425
Therefore, the GCF of Fractions 6629/851,1878/675 is 1/574425
Least Common Multiple of 851,675 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 851,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,675) x common factors =1 x 1 = 1
LCM(851,675) = ( 851 × 675 ) / 1
LCM(851,675) = 574425 / 1
LCM(851,675) = 574425
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FAQs on GCF of Fractions of 6629/851, 1878/675
1. What is the HCF of 6629,1878?
The HCF of 6629,1878 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 6629/851, 1878/675?
Answer: GCF of Numerators as per given numbers 6629/851, 1878/675 is
GCF of Numerators i.e. for 6629,1878 is 1
LCM of denominators i.e. for 851,675 is 574425.
Thus, GCF of Fractions is 1/574425.Finally, GCF of Fractions for 6629/851, 1878/675 is 1/574425.