Highest Common Factor of 950, 1155 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 950, 1155 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 950, 1155 is 5 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 950, 1155 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 950, 1155 is 5.
HCF(950, 1155) = 5
HCF of 950, 1155 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 950, 1155 is 5.
Highest Common Factor of 950,1155 is 5
Step 1: Since 1155 > 950, we apply the division lemma to 1155 and 950, to get
1155 = 950 x 1 + 205
Step 2: Since the reminder 950 ≠ 0, we apply division lemma to 205 and 950, to get
950 = 205 x 4 + 130
Step 3: We consider the new divisor 205 and the new remainder 130, and apply the division lemma to get
205 = 130 x 1 + 75
We consider the new divisor 130 and the new remainder 75,and apply the division lemma to get
130 = 75 x 1 + 55
We consider the new divisor 75 and the new remainder 55,and apply the division lemma to get
75 = 55 x 1 + 20
We consider the new divisor 55 and the new remainder 20,and apply the division lemma to get
55 = 20 x 2 + 15
We consider the new divisor 20 and the new remainder 15,and apply the division lemma to get
20 = 15 x 1 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 950 and 1155 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(55,20) = HCF(75,55) = HCF(130,75) = HCF(205,130) = HCF(950,205) = HCF(1155,950) .
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Frequently Asked Questions on HCF of 950, 1155 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 950, 1155?
Answer: HCF of 950, 1155 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 950, 1155 using Euclid's Algorithm?
Answer: For arbitrary numbers 950, 1155 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.