Highest Common Factor of 2324, 6102 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 2324, 6102 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2324, 6102 is 2 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 2324, 6102 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 2324, 6102 is 2.
HCF(2324, 6102) = 2
HCF of 2324, 6102 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2324, 6102 is 2.
Highest Common Factor of 2324,6102 is 2
Step 1: Since 6102 > 2324, we apply the division lemma to 6102 and 2324, to get
6102 = 2324 x 2 + 1454
Step 2: Since the reminder 2324 ≠ 0, we apply division lemma to 1454 and 2324, to get
2324 = 1454 x 1 + 870
Step 3: We consider the new divisor 1454 and the new remainder 870, and apply the division lemma to get
1454 = 870 x 1 + 584
We consider the new divisor 870 and the new remainder 584,and apply the division lemma to get
870 = 584 x 1 + 286
We consider the new divisor 584 and the new remainder 286,and apply the division lemma to get
584 = 286 x 2 + 12
We consider the new divisor 286 and the new remainder 12,and apply the division lemma to get
286 = 12 x 23 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2324 and 6102 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(286,12) = HCF(584,286) = HCF(870,584) = HCF(1454,870) = HCF(2324,1454) = HCF(6102,2324) .
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Frequently Asked Questions on HCF of 2324, 6102 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 2324, 6102?
Answer: HCF of 2324, 6102 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2324, 6102 using Euclid's Algorithm?
Answer: For arbitrary numbers 2324, 6102 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.