Highest Common Factor of 8109, 7436, 46292 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8109, 7436, 46292 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8109, 7436, 46292 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8109, 7436, 46292 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8109, 7436, 46292 is 1.
HCF(8109, 7436, 46292) = 1
HCF of 8109, 7436, 46292 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8109, 7436, 46292 is 1.
Highest Common Factor of 8109,7436,46292 is 1
Step 1: Since 8109 > 7436, we apply the division lemma to 8109 and 7436, to get
8109 = 7436 x 1 + 673
Step 2: Since the reminder 7436 ≠ 0, we apply division lemma to 673 and 7436, to get
7436 = 673 x 11 + 33
Step 3: We consider the new divisor 673 and the new remainder 33, and apply the division lemma to get
673 = 33 x 20 + 13
We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get
33 = 13 x 2 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8109 and 7436 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(673,33) = HCF(7436,673) = HCF(8109,7436) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46292 > 1, we apply the division lemma to 46292 and 1, to get
46292 = 1 x 46292 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46292 is 1
Notice that 1 = HCF(46292,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8109, 7436, 46292 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8109, 7436, 46292?
Answer: HCF of 8109, 7436, 46292 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8109, 7436, 46292 using Euclid's Algorithm?
Answer: For arbitrary numbers 8109, 7436, 46292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
