Highest Common Factor of 826, 286, 436 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 826, 286, 436 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 826, 286, 436 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 826, 286, 436 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 826, 286, 436 is 2.
HCF(826, 286, 436) = 2
HCF of 826, 286, 436 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 826, 286, 436 is 2.
Highest Common Factor of 826,286,436 is 2
Step 1: Since 826 > 286, we apply the division lemma to 826 and 286, to get
826 = 286 x 2 + 254
Step 2: Since the reminder 286 ≠ 0, we apply division lemma to 254 and 286, to get
286 = 254 x 1 + 32
Step 3: We consider the new divisor 254 and the new remainder 32, and apply the division lemma to get
254 = 32 x 7 + 30
We consider the new divisor 32 and the new remainder 30,and apply the division lemma to get
32 = 30 x 1 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 826 and 286 is 2
Notice that 2 = HCF(30,2) = HCF(32,30) = HCF(254,32) = HCF(286,254) = HCF(826,286) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 436 > 2, we apply the division lemma to 436 and 2, to get
436 = 2 x 218 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 436 is 2
Notice that 2 = HCF(436,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 826, 286, 436 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 826, 286, 436?
Answer: HCF of 826, 286, 436 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 826, 286, 436 using Euclid's Algorithm?
Answer: For arbitrary numbers 826, 286, 436 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.