Highest Common Factor of 772, 410, 832 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 772, 410, 832 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 772, 410, 832 is 2 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 772, 410, 832 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 772, 410, 832 is 2.
HCF(772, 410, 832) = 2
HCF of 772, 410, 832 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 772, 410, 832 is 2.
Highest Common Factor of 772,410,832 is 2
Step 1: Since 772 > 410, we apply the division lemma to 772 and 410, to get
772 = 410 x 1 + 362
Step 2: Since the reminder 410 ≠ 0, we apply division lemma to 362 and 410, to get
410 = 362 x 1 + 48
Step 3: We consider the new divisor 362 and the new remainder 48, and apply the division lemma to get
362 = 48 x 7 + 26
We consider the new divisor 48 and the new remainder 26,and apply the division lemma to get
48 = 26 x 1 + 22
We consider the new divisor 26 and the new remainder 22,and apply the division lemma to get
26 = 22 x 1 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 772 and 410 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(26,22) = HCF(48,26) = HCF(362,48) = HCF(410,362) = HCF(772,410) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 832 > 2, we apply the division lemma to 832 and 2, to get
832 = 2 x 416 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 832 is 2
Notice that 2 = HCF(832,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 772, 410, 832 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 772, 410, 832?
Answer: HCF of 772, 410, 832 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 772, 410, 832 using Euclid's Algorithm?
Answer: For arbitrary numbers 772, 410, 832 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.