Highest Common Factor of 8085, 1467, 56349 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 8085, 1467, 56349 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8085, 1467, 56349 is 3 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 8085, 1467, 56349 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 8085, 1467, 56349 is 3.
HCF(8085, 1467, 56349) = 3
HCF of 8085, 1467, 56349 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8085, 1467, 56349 is 3.
Highest Common Factor of 8085,1467,56349 is 3
Step 1: Since 8085 > 1467, we apply the division lemma to 8085 and 1467, to get
8085 = 1467 x 5 + 750
Step 2: Since the reminder 1467 ≠ 0, we apply division lemma to 750 and 1467, to get
1467 = 750 x 1 + 717
Step 3: We consider the new divisor 750 and the new remainder 717, and apply the division lemma to get
750 = 717 x 1 + 33
We consider the new divisor 717 and the new remainder 33,and apply the division lemma to get
717 = 33 x 21 + 24
We consider the new divisor 33 and the new remainder 24,and apply the division lemma to get
33 = 24 x 1 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8085 and 1467 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(33,24) = HCF(717,33) = HCF(750,717) = HCF(1467,750) = HCF(8085,1467) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56349 > 3, we apply the division lemma to 56349 and 3, to get
56349 = 3 x 18783 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 56349 is 3
Notice that 3 = HCF(56349,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8085, 1467, 56349 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 8085, 1467, 56349?
Answer: HCF of 8085, 1467, 56349 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8085, 1467, 56349 using Euclid's Algorithm?
Answer: For arbitrary numbers 8085, 1467, 56349 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.