GCF of 8400/124, 6529/4513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8400/124, 6529/4513 i.e 1/559612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8400/124, 6529/4513.
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 8400/124,6529/4513?
Given fractions are 8400/124,6529/4513
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 8400/124,6529/4513, numerators are 8400,6529
Denominators are 124,4513
The GCF of 8400,6529 is 1 .
LCM of 124,4513 is 559612.
The greatest common factor of 8400/124,6529/4513 = [GCF of 8400,6529]/[LCM of 124,4513]= 1/559612
Therefore, the GCF of 8400/124,6529/4513 is 1/559612.
To find the highest common factor of 8400,6529, we have to find the factors of both numbers and list the highest common factor.
The factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400
The factors of 6529 are 1, 6529
The HCF of 8400,6529 is 1.
Lets's calculate GCF of 8400,6529
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8400,6529 By Matching Biggest Common Factor Method
Now, list down the factors of 8400
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400
Now, list down the factors of 6529
:1,6529
Greatest Common Factor
We found the factors 8400,6529 . The biggest common factor number is the GCF number.
So the greatest common factor 8400,6529 is 1.
Lets's calculate LCM of 124,4513
Given numbers has no common factors except 1. So, there LCM is their product i.e 559612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559612
Therefore, the GCF of Fractions 8400/124,6529/4513 is 1/559612
Least Common Multiple of 124,4513 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 124,4513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,4513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(124,4513) x common factors =1 x 1 = 1
LCM(124,4513) = ( 124 × 4513 ) / 1
LCM(124,4513) = 559612 / 1
LCM(124,4513) = 559612
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FAQs on GCF of Fractions of 8400/124, 6529/4513
1. What is the HCF of 8400,6529?
The HCF of 8400,6529 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 8400/124, 6529/4513?
Answer: GCF of Numerators as per given numbers 8400/124, 6529/4513 is
GCF of Numerators i.e. for 8400,6529 is 1
LCM of denominators i.e. for 124,4513 is 559612.
Thus, GCF of Fractions is 1/559612.Finally, GCF of Fractions for 8400/124, 6529/4513 is 1/559612.