Highest Common Factor of 4943, 5874 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 4943, 5874 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4943, 5874 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 4943, 5874 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 4943, 5874 is 1.
HCF(4943, 5874) = 1
HCF of 4943, 5874 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4943, 5874 is 1.
Highest Common Factor of 4943,5874 is 1
Step 1: Since 5874 > 4943, we apply the division lemma to 5874 and 4943, to get
5874 = 4943 x 1 + 931
Step 2: Since the reminder 4943 ≠ 0, we apply division lemma to 931 and 4943, to get
4943 = 931 x 5 + 288
Step 3: We consider the new divisor 931 and the new remainder 288, and apply the division lemma to get
931 = 288 x 3 + 67
We consider the new divisor 288 and the new remainder 67,and apply the division lemma to get
288 = 67 x 4 + 20
We consider the new divisor 67 and the new remainder 20,and apply the division lemma to get
67 = 20 x 3 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4943 and 5874 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(67,20) = HCF(288,67) = HCF(931,288) = HCF(4943,931) = HCF(5874,4943) .
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Frequently Asked Questions on HCF of 4943, 5874 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 4943, 5874?
Answer: HCF of 4943, 5874 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4943, 5874 using Euclid's Algorithm?
Answer: For arbitrary numbers 4943, 5874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.