Highest Common Factor of 955, 27905 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 955, 27905 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 955, 27905 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 955, 27905 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 955, 27905 is 5.
HCF(955, 27905) = 5
HCF of 955, 27905 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 955, 27905 is 5.
Highest Common Factor of 955,27905 is 5
Step 1: Since 27905 > 955, we apply the division lemma to 27905 and 955, to get
27905 = 955 x 29 + 210
Step 2: Since the reminder 955 ≠ 0, we apply division lemma to 210 and 955, to get
955 = 210 x 4 + 115
Step 3: We consider the new divisor 210 and the new remainder 115, and apply the division lemma to get
210 = 115 x 1 + 95
We consider the new divisor 115 and the new remainder 95,and apply the division lemma to get
115 = 95 x 1 + 20
We consider the new divisor 95 and the new remainder 20,and apply the division lemma to get
95 = 20 x 4 + 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 955 and 27905 is 5
Notice that 5 = HCF(15,5) = HCF(20,15) = HCF(95,20) = HCF(115,95) = HCF(210,115) = HCF(955,210) = HCF(27905,955) .
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Frequently Asked Questions on HCF of 955, 27905 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 955, 27905?
Answer: HCF of 955, 27905 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 955, 27905 using Euclid's Algorithm?
Answer: For arbitrary numbers 955, 27905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.