GCF of 8439/147, 8470/751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8439/147, 8470/751 i.e 1/110397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8439/147, 8470/751.
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 8439/147,8470/751?
Given fractions are 8439/147,8470/751
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 8439/147,8470/751, numerators are 8439,8470
Denominators are 147,751
The GCF of 8439,8470 is 1 .
LCM of 147,751 is 110397.
The greatest common factor of 8439/147,8470/751 = [GCF of 8439,8470]/[LCM of 147,751]= 1/110397
Therefore, the GCF of 8439/147,8470/751 is 1/110397.
To find the highest common factor of 8439,8470, we have to find the factors of both numbers and list the highest common factor.
The factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The HCF of 8439,8470 is 1.
Lets's calculate GCF of 8439,8470
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8439,8470 By Matching Biggest Common Factor Method
Now, list down the factors of 8439
:1,3,29,87,97,291,2813,8439
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors 8439,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 8439,8470 is 1.
Lets's calculate LCM of 147,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 110397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110397
Therefore, the GCF of Fractions 8439/147,8470/751 is 1/110397
Least Common Multiple of 147,751 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 147,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(147,751) x common factors =1 x 1 = 1
LCM(147,751) = ( 147 × 751 ) / 1
LCM(147,751) = 110397 / 1
LCM(147,751) = 110397
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FAQs on GCF of Fractions of 8439/147, 8470/751
1. What is the HCF of 8439,8470?
The HCF of 8439,8470 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 8439/147, 8470/751?
Answer: GCF of Numerators as per given numbers 8439/147, 8470/751 is
GCF of Numerators i.e. for 8439,8470 is 1
LCM of denominators i.e. for 147,751 is 110397.
Thus, GCF of Fractions is 1/110397.Finally, GCF of Fractions for 8439/147, 8470/751 is 1/110397.