Highest Common Factor of 5619, 2370 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 5619, 2370 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5619, 2370 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 5619, 2370 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 5619, 2370 is 3.
HCF(5619, 2370) = 3
HCF of 5619, 2370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5619, 2370 is 3.
Highest Common Factor of 5619,2370 is 3
Step 1: Since 5619 > 2370, we apply the division lemma to 5619 and 2370, to get
5619 = 2370 x 2 + 879
Step 2: Since the reminder 2370 ≠ 0, we apply division lemma to 879 and 2370, to get
2370 = 879 x 2 + 612
Step 3: We consider the new divisor 879 and the new remainder 612, and apply the division lemma to get
879 = 612 x 1 + 267
We consider the new divisor 612 and the new remainder 267,and apply the division lemma to get
612 = 267 x 2 + 78
We consider the new divisor 267 and the new remainder 78,and apply the division lemma to get
267 = 78 x 3 + 33
We consider the new divisor 78 and the new remainder 33,and apply the division lemma to get
78 = 33 x 2 + 12
We consider the new divisor 33 and the new remainder 12,and apply the division lemma to get
33 = 12 x 2 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5619 and 2370 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(33,12) = HCF(78,33) = HCF(267,78) = HCF(612,267) = HCF(879,612) = HCF(2370,879) = HCF(5619,2370) .
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Frequently Asked Questions on HCF of 5619, 2370 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 5619, 2370?
Answer: HCF of 5619, 2370 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5619, 2370 using Euclid's Algorithm?
Answer: For arbitrary numbers 5619, 2370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.