Highest Common Factor of 844, 586, 392, 826 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 844, 586, 392, 826 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 844, 586, 392, 826 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 844, 586, 392, 826 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 844, 586, 392, 826 is 2.
HCF(844, 586, 392, 826) = 2
HCF of 844, 586, 392, 826 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 844, 586, 392, 826 is 2.
Highest Common Factor of 844,586,392,826 is 2
Step 1: Since 844 > 586, we apply the division lemma to 844 and 586, to get
844 = 586 x 1 + 258
Step 2: Since the reminder 586 ≠ 0, we apply division lemma to 258 and 586, to get
586 = 258 x 2 + 70
Step 3: We consider the new divisor 258 and the new remainder 70, and apply the division lemma to get
258 = 70 x 3 + 48
We consider the new divisor 70 and the new remainder 48,and apply the division lemma to get
70 = 48 x 1 + 22
We consider the new divisor 48 and the new remainder 22,and apply the division lemma to get
48 = 22 x 2 + 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 844 and 586 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(48,22) = HCF(70,48) = HCF(258,70) = HCF(586,258) = HCF(844,586) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 392 > 2, we apply the division lemma to 392 and 2, to get
392 = 2 x 196 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 392 is 2
Notice that 2 = HCF(392,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 826 > 2, we apply the division lemma to 826 and 2, to get
826 = 2 x 413 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 826 is 2
Notice that 2 = HCF(826,2) .
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Frequently Asked Questions on HCF of 844, 586, 392, 826 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 844, 586, 392, 826?
Answer: HCF of 844, 586, 392, 826 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 844, 586, 392, 826 using Euclid's Algorithm?
Answer: For arbitrary numbers 844, 586, 392, 826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.