Highest Common Factor of 7704, 5941 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 7704, 5941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7704, 5941 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 7704, 5941 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 7704, 5941 is 1.
HCF(7704, 5941) = 1
HCF of 7704, 5941 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7704, 5941 is 1.
Highest Common Factor of 7704,5941 is 1
Step 1: Since 7704 > 5941, we apply the division lemma to 7704 and 5941, to get
7704 = 5941 x 1 + 1763
Step 2: Since the reminder 5941 ≠ 0, we apply division lemma to 1763 and 5941, to get
5941 = 1763 x 3 + 652
Step 3: We consider the new divisor 1763 and the new remainder 652, and apply the division lemma to get
1763 = 652 x 2 + 459
We consider the new divisor 652 and the new remainder 459,and apply the division lemma to get
652 = 459 x 1 + 193
We consider the new divisor 459 and the new remainder 193,and apply the division lemma to get
459 = 193 x 2 + 73
We consider the new divisor 193 and the new remainder 73,and apply the division lemma to get
193 = 73 x 2 + 47
We consider the new divisor 73 and the new remainder 47,and apply the division lemma to get
73 = 47 x 1 + 26
We consider the new divisor 47 and the new remainder 26,and apply the division lemma to get
47 = 26 x 1 + 21
We consider the new divisor 26 and the new remainder 21,and apply the division lemma to get
26 = 21 x 1 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7704 and 5941 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(26,21) = HCF(47,26) = HCF(73,47) = HCF(193,73) = HCF(459,193) = HCF(652,459) = HCF(1763,652) = HCF(5941,1763) = HCF(7704,5941) .
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Frequently Asked Questions on HCF of 7704, 5941 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 7704, 5941?
Answer: HCF of 7704, 5941 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7704, 5941 using Euclid's Algorithm?
Answer: For arbitrary numbers 7704, 5941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.