Highest Common Factor of 9779, 5846 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 9779, 5846 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9779, 5846 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 9779, 5846 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 9779, 5846 is 1.
HCF(9779, 5846) = 1
HCF of 9779, 5846 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9779, 5846 is 1.
Highest Common Factor of 9779,5846 is 1
Step 1: Since 9779 > 5846, we apply the division lemma to 9779 and 5846, to get
9779 = 5846 x 1 + 3933
Step 2: Since the reminder 5846 ≠ 0, we apply division lemma to 3933 and 5846, to get
5846 = 3933 x 1 + 1913
Step 3: We consider the new divisor 3933 and the new remainder 1913, and apply the division lemma to get
3933 = 1913 x 2 + 107
We consider the new divisor 1913 and the new remainder 107,and apply the division lemma to get
1913 = 107 x 17 + 94
We consider the new divisor 107 and the new remainder 94,and apply the division lemma to get
107 = 94 x 1 + 13
We consider the new divisor 94 and the new remainder 13,and apply the division lemma to get
94 = 13 x 7 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 9779 and 5846 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(94,13) = HCF(107,94) = HCF(1913,107) = HCF(3933,1913) = HCF(5846,3933) = HCF(9779,5846) .
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Frequently Asked Questions on HCF of 9779, 5846 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 9779, 5846?
Answer: HCF of 9779, 5846 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9779, 5846 using Euclid's Algorithm?
Answer: For arbitrary numbers 9779, 5846 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.