Highest Common Factor of 5846, 1086 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 5846, 1086 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5846, 1086 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 5846, 1086 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 5846, 1086 is 2.
HCF(5846, 1086) = 2
HCF of 5846, 1086 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5846, 1086 is 2.
Highest Common Factor of 5846,1086 is 2
Step 1: Since 5846 > 1086, we apply the division lemma to 5846 and 1086, to get
5846 = 1086 x 5 + 416
Step 2: Since the reminder 1086 ≠ 0, we apply division lemma to 416 and 1086, to get
1086 = 416 x 2 + 254
Step 3: We consider the new divisor 416 and the new remainder 254, and apply the division lemma to get
416 = 254 x 1 + 162
We consider the new divisor 254 and the new remainder 162,and apply the division lemma to get
254 = 162 x 1 + 92
We consider the new divisor 162 and the new remainder 92,and apply the division lemma to get
162 = 92 x 1 + 70
We consider the new divisor 92 and the new remainder 70,and apply the division lemma to get
92 = 70 x 1 + 22
We consider the new divisor 70 and the new remainder 22,and apply the division lemma to get
70 = 22 x 3 + 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 5846 and 1086 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(70,22) = HCF(92,70) = HCF(162,92) = HCF(254,162) = HCF(416,254) = HCF(1086,416) = HCF(5846,1086) .
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Frequently Asked Questions on HCF of 5846, 1086 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 5846, 1086?
Answer: HCF of 5846, 1086 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5846, 1086 using Euclid's Algorithm?
Answer: For arbitrary numbers 5846, 1086 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.