Highest Common Factor of 2376, 6249 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 2376, 6249 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2376, 6249 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 2376, 6249 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 2376, 6249 is 3.
HCF(2376, 6249) = 3
HCF of 2376, 6249 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2376, 6249 is 3.
Highest Common Factor of 2376,6249 is 3
Step 1: Since 6249 > 2376, we apply the division lemma to 6249 and 2376, to get
6249 = 2376 x 2 + 1497
Step 2: Since the reminder 2376 ≠ 0, we apply division lemma to 1497 and 2376, to get
2376 = 1497 x 1 + 879
Step 3: We consider the new divisor 1497 and the new remainder 879, and apply the division lemma to get
1497 = 879 x 1 + 618
We consider the new divisor 879 and the new remainder 618,and apply the division lemma to get
879 = 618 x 1 + 261
We consider the new divisor 618 and the new remainder 261,and apply the division lemma to get
618 = 261 x 2 + 96
We consider the new divisor 261 and the new remainder 96,and apply the division lemma to get
261 = 96 x 2 + 69
We consider the new divisor 96 and the new remainder 69,and apply the division lemma to get
96 = 69 x 1 + 27
We consider the new divisor 69 and the new remainder 27,and apply the division lemma to get
69 = 27 x 2 + 15
We consider the new divisor 27 and the new remainder 15,and apply the division lemma to get
27 = 15 x 1 + 12
We consider the new divisor 15 and the new remainder 12,and apply the division lemma to get
15 = 12 x 1 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2376 and 6249 is 3
Notice that 3 = HCF(12,3) = HCF(15,12) = HCF(27,15) = HCF(69,27) = HCF(96,69) = HCF(261,96) = HCF(618,261) = HCF(879,618) = HCF(1497,879) = HCF(2376,1497) = HCF(6249,2376) .
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Frequently Asked Questions on HCF of 2376, 6249 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 2376, 6249?
Answer: HCF of 2376, 6249 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2376, 6249 using Euclid's Algorithm?
Answer: For arbitrary numbers 2376, 6249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.