Highest Common Factor of 1596, 6886 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 1596, 6886 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1596, 6886 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 1596, 6886 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 1596, 6886 is 2.
HCF(1596, 6886) = 2
HCF of 1596, 6886 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1596, 6886 is 2.
Highest Common Factor of 1596,6886 is 2
Step 1: Since 6886 > 1596, we apply the division lemma to 6886 and 1596, to get
6886 = 1596 x 4 + 502
Step 2: Since the reminder 1596 ≠ 0, we apply division lemma to 502 and 1596, to get
1596 = 502 x 3 + 90
Step 3: We consider the new divisor 502 and the new remainder 90, and apply the division lemma to get
502 = 90 x 5 + 52
We consider the new divisor 90 and the new remainder 52,and apply the division lemma to get
90 = 52 x 1 + 38
We consider the new divisor 52 and the new remainder 38,and apply the division lemma to get
52 = 38 x 1 + 14
We consider the new divisor 38 and the new remainder 14,and apply the division lemma to get
38 = 14 x 2 + 10
We consider the new divisor 14 and the new remainder 10,and apply the division lemma to get
14 = 10 x 1 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 1596 and 6886 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(14,10) = HCF(38,14) = HCF(52,38) = HCF(90,52) = HCF(502,90) = HCF(1596,502) = HCF(6886,1596) .
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Frequently Asked Questions on HCF of 1596, 6886 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 1596, 6886?
Answer: HCF of 1596, 6886 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1596, 6886 using Euclid's Algorithm?
Answer: For arbitrary numbers 1596, 6886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.