Highest Common Factor of 615, 55568 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 615, 55568 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 55568 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 615, 55568 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 615, 55568 is 1.
HCF(615, 55568) = 1
HCF of 615, 55568 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 615, 55568 is 1.
Highest Common Factor of 615,55568 is 1
Step 1: Since 55568 > 615, we apply the division lemma to 55568 and 615, to get
55568 = 615 x 90 + 218
Step 2: Since the reminder 615 ≠ 0, we apply division lemma to 218 and 615, to get
615 = 218 x 2 + 179
Step 3: We consider the new divisor 218 and the new remainder 179, and apply the division lemma to get
218 = 179 x 1 + 39
We consider the new divisor 179 and the new remainder 39,and apply the division lemma to get
179 = 39 x 4 + 23
We consider the new divisor 39 and the new remainder 23,and apply the division lemma to get
39 = 23 x 1 + 16
We consider the new divisor 23 and the new remainder 16,and apply the division lemma to get
23 = 16 x 1 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 615 and 55568 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(23,16) = HCF(39,23) = HCF(179,39) = HCF(218,179) = HCF(615,218) = HCF(55568,615) .
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Frequently Asked Questions on HCF of 615, 55568 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 615, 55568?
Answer: HCF of 615, 55568 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 55568 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 55568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.