Highest Common Factor of 5999, 8533 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 5999, 8533 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 5999, 8533 is 7 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 5999, 8533 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 5999, 8533 is 7.
HCF(5999, 8533) = 7
HCF of 5999, 8533 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5999, 8533 is 7.
Highest Common Factor of 5999,8533 is 7
Step 1: Since 8533 > 5999, we apply the division lemma to 8533 and 5999, to get
8533 = 5999 x 1 + 2534
Step 2: Since the reminder 5999 ≠ 0, we apply division lemma to 2534 and 5999, to get
5999 = 2534 x 2 + 931
Step 3: We consider the new divisor 2534 and the new remainder 931, and apply the division lemma to get
2534 = 931 x 2 + 672
We consider the new divisor 931 and the new remainder 672,and apply the division lemma to get
931 = 672 x 1 + 259
We consider the new divisor 672 and the new remainder 259,and apply the division lemma to get
672 = 259 x 2 + 154
We consider the new divisor 259 and the new remainder 154,and apply the division lemma to get
259 = 154 x 1 + 105
We consider the new divisor 154 and the new remainder 105,and apply the division lemma to get
154 = 105 x 1 + 49
We consider the new divisor 105 and the new remainder 49,and apply the division lemma to get
105 = 49 x 2 + 7
We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get
49 = 7 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5999 and 8533 is 7
Notice that 7 = HCF(49,7) = HCF(105,49) = HCF(154,105) = HCF(259,154) = HCF(672,259) = HCF(931,672) = HCF(2534,931) = HCF(5999,2534) = HCF(8533,5999) .
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Frequently Asked Questions on HCF of 5999, 8533 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 5999, 8533?
Answer: HCF of 5999, 8533 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5999, 8533 using Euclid's Algorithm?
Answer: For arbitrary numbers 5999, 8533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
