Highest Common Factor of 2533, 6198 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 2533, 6198 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2533, 6198 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 2533, 6198 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 2533, 6198 is 1.
HCF(2533, 6198) = 1
HCF of 2533, 6198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2533, 6198 is 1.
Highest Common Factor of 2533,6198 is 1
Step 1: Since 6198 > 2533, we apply the division lemma to 6198 and 2533, to get
6198 = 2533 x 2 + 1132
Step 2: Since the reminder 2533 ≠ 0, we apply division lemma to 1132 and 2533, to get
2533 = 1132 x 2 + 269
Step 3: We consider the new divisor 1132 and the new remainder 269, and apply the division lemma to get
1132 = 269 x 4 + 56
We consider the new divisor 269 and the new remainder 56,and apply the division lemma to get
269 = 56 x 4 + 45
We consider the new divisor 56 and the new remainder 45,and apply the division lemma to get
56 = 45 x 1 + 11
We consider the new divisor 45 and the new remainder 11,and apply the division lemma to get
45 = 11 x 4 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2533 and 6198 is 1
Notice that 1 = HCF(11,1) = HCF(45,11) = HCF(56,45) = HCF(269,56) = HCF(1132,269) = HCF(2533,1132) = HCF(6198,2533) .
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Frequently Asked Questions on HCF of 2533, 6198 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 2533, 6198?
Answer: HCF of 2533, 6198 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2533, 6198 using Euclid's Algorithm?
Answer: For arbitrary numbers 2533, 6198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
