Highest Common Factor of 5954, 8723 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 5954, 8723 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 5954, 8723 is 13 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 5954, 8723 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 5954, 8723 is 13.
HCF(5954, 8723) = 13
HCF of 5954, 8723 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5954, 8723 is 13.
Highest Common Factor of 5954,8723 is 13
Step 1: Since 8723 > 5954, we apply the division lemma to 8723 and 5954, to get
8723 = 5954 x 1 + 2769
Step 2: Since the reminder 5954 ≠ 0, we apply division lemma to 2769 and 5954, to get
5954 = 2769 x 2 + 416
Step 3: We consider the new divisor 2769 and the new remainder 416, and apply the division lemma to get
2769 = 416 x 6 + 273
We consider the new divisor 416 and the new remainder 273,and apply the division lemma to get
416 = 273 x 1 + 143
We consider the new divisor 273 and the new remainder 143,and apply the division lemma to get
273 = 143 x 1 + 130
We consider the new divisor 143 and the new remainder 130,and apply the division lemma to get
143 = 130 x 1 + 13
We consider the new divisor 130 and the new remainder 13,and apply the division lemma to get
130 = 13 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 5954 and 8723 is 13
Notice that 13 = HCF(130,13) = HCF(143,130) = HCF(273,143) = HCF(416,273) = HCF(2769,416) = HCF(5954,2769) = HCF(8723,5954) .
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Frequently Asked Questions on HCF of 5954, 8723 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 5954, 8723?
Answer: HCF of 5954, 8723 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5954, 8723 using Euclid's Algorithm?
Answer: For arbitrary numbers 5954, 8723 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
