Highest Common Factor of 2352, 5979 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 2352, 5979 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2352, 5979 is 3 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 2352, 5979 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 2352, 5979 is 3.
HCF(2352, 5979) = 3
HCF of 2352, 5979 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2352, 5979 is 3.
Highest Common Factor of 2352,5979 is 3
Step 1: Since 5979 > 2352, we apply the division lemma to 5979 and 2352, to get
5979 = 2352 x 2 + 1275
Step 2: Since the reminder 2352 ≠ 0, we apply division lemma to 1275 and 2352, to get
2352 = 1275 x 1 + 1077
Step 3: We consider the new divisor 1275 and the new remainder 1077, and apply the division lemma to get
1275 = 1077 x 1 + 198
We consider the new divisor 1077 and the new remainder 198,and apply the division lemma to get
1077 = 198 x 5 + 87
We consider the new divisor 198 and the new remainder 87,and apply the division lemma to get
198 = 87 x 2 + 24
We consider the new divisor 87 and the new remainder 24,and apply the division lemma to get
87 = 24 x 3 + 15
We consider the new divisor 24 and the new remainder 15,and apply the division lemma to get
24 = 15 x 1 + 9
We consider the new divisor 15 and the new remainder 9,and apply the division lemma to get
15 = 9 x 1 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2352 and 5979 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(15,9) = HCF(24,15) = HCF(87,24) = HCF(198,87) = HCF(1077,198) = HCF(1275,1077) = HCF(2352,1275) = HCF(5979,2352) .
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Frequently Asked Questions on HCF of 2352, 5979 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 2352, 5979?
Answer: HCF of 2352, 5979 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2352, 5979 using Euclid's Algorithm?
Answer: For arbitrary numbers 2352, 5979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.