GCF of 8249/455, 7512/6429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8249/455, 7512/6429 i.e 1/2925195 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8249/455, 7512/6429.
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 8249/455,7512/6429?
Given fractions are 8249/455,7512/6429
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 8249/455,7512/6429, numerators are 8249,7512
Denominators are 455,6429
The GCF of 8249,7512 is 1 .
LCM of 455,6429 is 2925195.
The greatest common factor of 8249/455,7512/6429 = [GCF of 8249,7512]/[LCM of 455,6429]= 1/2925195
Therefore, the GCF of 8249/455,7512/6429 is 1/2925195.
To find the highest common factor of 8249,7512, we have to find the factors of both numbers and list the highest common factor.
The factors of 8249 are 1, 73, 113, 8249
The factors of 7512 are 1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756, 7512
The HCF of 8249,7512 is 1.
Lets's calculate GCF of 8249,7512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8249,7512 By Matching Biggest Common Factor Method
Now, list down the factors of 8249
:1,73,113,8249
Now, list down the factors of 7512
:1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512
Greatest Common Factor
We found the factors 8249,7512 . The biggest common factor number is the GCF number.
So the greatest common factor 8249,7512 is 1.
Lets's calculate LCM of 455,6429
Given numbers has no common factors except 1. So, there LCM is their product i.e 2925195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2925195
Therefore, the GCF of Fractions 8249/455,7512/6429 is 1/2925195
Least Common Multiple of 455,6429 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 455,6429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,6429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(455,6429) x common factors =1 x 1 = 1
LCM(455,6429) = ( 455 × 6429 ) / 1
LCM(455,6429) = 2925195 / 1
LCM(455,6429) = 2925195
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FAQs on GCF of Fractions of 8249/455, 7512/6429
1. What is the HCF of 8249,7512?
The HCF of 8249,7512 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 8249/455, 7512/6429?
Answer: GCF of Numerators as per given numbers 8249/455, 7512/6429 is
GCF of Numerators i.e. for 8249,7512 is 1
LCM of denominators i.e. for 455,6429 is 2925195.
Thus, GCF of Fractions is 1/2925195.Finally, GCF of Fractions for 8249/455, 7512/6429 is 1/2925195.