Highest Common Factor of 806, 912, 599, 920 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 806, 912, 599, 920 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 806, 912, 599, 920 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 806, 912, 599, 920 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 806, 912, 599, 920 is 1.
HCF(806, 912, 599, 920) = 1
HCF of 806, 912, 599, 920 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 806, 912, 599, 920 is 1.
Highest Common Factor of 806,912,599,920 is 1
Step 1: Since 912 > 806, we apply the division lemma to 912 and 806, to get
912 = 806 x 1 + 106
Step 2: Since the reminder 806 ≠ 0, we apply division lemma to 106 and 806, to get
806 = 106 x 7 + 64
Step 3: We consider the new divisor 106 and the new remainder 64, and apply the division lemma to get
106 = 64 x 1 + 42
We consider the new divisor 64 and the new remainder 42,and apply the division lemma to get
64 = 42 x 1 + 22
We consider the new divisor 42 and the new remainder 22,and apply the division lemma to get
42 = 22 x 1 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 806 and 912 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(42,22) = HCF(64,42) = HCF(106,64) = HCF(806,106) = HCF(912,806) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 599 > 2, we apply the division lemma to 599 and 2, to get
599 = 2 x 299 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 599 is 1
Notice that 1 = HCF(2,1) = HCF(599,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 920 > 1, we apply the division lemma to 920 and 1, to get
920 = 1 x 920 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 920 is 1
Notice that 1 = HCF(920,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 806, 912, 599, 920 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 806, 912, 599, 920?
Answer: HCF of 806, 912, 599, 920 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 806, 912, 599, 920 using Euclid's Algorithm?
Answer: For arbitrary numbers 806, 912, 599, 920 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.