Highest Common Factor of 536, 886, 794, 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 536, 886, 794, 920 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 536, 886, 794, 920 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 536, 886, 794, 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 536, 886, 794, 920 is 2.
HCF(536, 886, 794, 920) = 2
HCF of 536, 886, 794, 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 536, 886, 794, 920 is 2.
Highest Common Factor of 536,886,794,920 is 2
Step 1: Since 886 > 536, we apply the division lemma to 886 and 536, to get
886 = 536 x 1 + 350
Step 2: Since the reminder 536 ≠ 0, we apply division lemma to 350 and 536, to get
536 = 350 x 1 + 186
Step 3: We consider the new divisor 350 and the new remainder 186, and apply the division lemma to get
350 = 186 x 1 + 164
We consider the new divisor 186 and the new remainder 164,and apply the division lemma to get
186 = 164 x 1 + 22
We consider the new divisor 164 and the new remainder 22,and apply the division lemma to get
164 = 22 x 7 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 536 and 886 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(164,22) = HCF(186,164) = HCF(350,186) = HCF(536,350) = HCF(886,536) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 794 > 2, we apply the division lemma to 794 and 2, to get
794 = 2 x 397 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 794 is 2
Notice that 2 = HCF(794,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 920 > 2, we apply the division lemma to 920 and 2, to get
920 = 2 x 460 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 920 is 2
Notice that 2 = HCF(920,2) .
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Frequently Asked Questions on HCF of 536, 886, 794, 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 536, 886, 794, 920?
Answer: HCF of 536, 886, 794, 920 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 536, 886, 794, 920 using Euclid's Algorithm?
Answer: For arbitrary numbers 536, 886, 794, 920 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.