Highest Common Factor of 2079, 7837 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 2079, 7837 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2079, 7837 is 1 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 2079, 7837 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 2079, 7837 is 1.
HCF(2079, 7837) = 1
HCF of 2079, 7837 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2079, 7837 is 1.
Highest Common Factor of 2079,7837 is 1
Step 1: Since 7837 > 2079, we apply the division lemma to 7837 and 2079, to get
7837 = 2079 x 3 + 1600
Step 2: Since the reminder 2079 ≠ 0, we apply division lemma to 1600 and 2079, to get
2079 = 1600 x 1 + 479
Step 3: We consider the new divisor 1600 and the new remainder 479, and apply the division lemma to get
1600 = 479 x 3 + 163
We consider the new divisor 479 and the new remainder 163,and apply the division lemma to get
479 = 163 x 2 + 153
We consider the new divisor 163 and the new remainder 153,and apply the division lemma to get
163 = 153 x 1 + 10
We consider the new divisor 153 and the new remainder 10,and apply the division lemma to get
153 = 10 x 15 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2079 and 7837 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(153,10) = HCF(163,153) = HCF(479,163) = HCF(1600,479) = HCF(2079,1600) = HCF(7837,2079) .
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Frequently Asked Questions on HCF of 2079, 7837 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 2079, 7837?
Answer: HCF of 2079, 7837 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2079, 7837 using Euclid's Algorithm?
Answer: For arbitrary numbers 2079, 7837 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.