Highest Common Factor of 615, 355, 903 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, 355, 903 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 615, 355, 903 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, 355, 903 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, 355, 903 is 1.
HCF(615, 355, 903) = 1
HCF of 615, 355, 903 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, 355, 903 is 1.
Highest Common Factor of 615,355,903 is 1
Step 1: Since 615 > 355, we apply the division lemma to 615 and 355, to get
615 = 355 x 1 + 260
Step 2: Since the reminder 355 ≠ 0, we apply division lemma to 260 and 355, to get
355 = 260 x 1 + 95
Step 3: We consider the new divisor 260 and the new remainder 95, and apply the division lemma to get
260 = 95 x 2 + 70
We consider the new divisor 95 and the new remainder 70,and apply the division lemma to get
95 = 70 x 1 + 25
We consider the new divisor 70 and the new remainder 25,and apply the division lemma to get
70 = 25 x 2 + 20
We consider the new divisor 25 and the new remainder 20,and apply the division lemma to get
25 = 20 x 1 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 615 and 355 is 5
Notice that 5 = HCF(20,5) = HCF(25,20) = HCF(70,25) = HCF(95,70) = HCF(260,95) = HCF(355,260) = HCF(615,355) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 903 > 5, we apply the division lemma to 903 and 5, to get
903 = 5 x 180 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get
3 = 2 x 1 + 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 5 and 903 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(903,5) .
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Frequently Asked Questions on HCF of 615, 355, 903 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, 355, 903?
Answer: HCF of 615, 355, 903 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 615, 355, 903 using Euclid's Algorithm?
Answer: For arbitrary numbers 615, 355, 903 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.