Highest Common Factor of 9455, 2867 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 9455, 2867 i.e. 61 the largest integer that leaves a remainder zero for all numbers.
HCF of 9455, 2867 is 61 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 9455, 2867 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 9455, 2867 is 61.
HCF(9455, 2867) = 61
HCF of 9455, 2867 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9455, 2867 is 61.
Highest Common Factor of 9455,2867 is 61
Step 1: Since 9455 > 2867, we apply the division lemma to 9455 and 2867, to get
9455 = 2867 x 3 + 854
Step 2: Since the reminder 2867 ≠ 0, we apply division lemma to 854 and 2867, to get
2867 = 854 x 3 + 305
Step 3: We consider the new divisor 854 and the new remainder 305, and apply the division lemma to get
854 = 305 x 2 + 244
We consider the new divisor 305 and the new remainder 244,and apply the division lemma to get
305 = 244 x 1 + 61
We consider the new divisor 244 and the new remainder 61,and apply the division lemma to get
244 = 61 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 61, the HCF of 9455 and 2867 is 61
Notice that 61 = HCF(244,61) = HCF(305,244) = HCF(854,305) = HCF(2867,854) = HCF(9455,2867) .
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Frequently Asked Questions on HCF of 9455, 2867 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 9455, 2867?
Answer: HCF of 9455, 2867 is 61 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9455, 2867 using Euclid's Algorithm?
Answer: For arbitrary numbers 9455, 2867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.