Highest Common Factor of 2943, 8150 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 2943, 8150 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2943, 8150 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 2943, 8150 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 2943, 8150 is 1.
HCF(2943, 8150) = 1
HCF of 2943, 8150 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2943, 8150 is 1.
Highest Common Factor of 2943,8150 is 1
Step 1: Since 8150 > 2943, we apply the division lemma to 8150 and 2943, to get
8150 = 2943 x 2 + 2264
Step 2: Since the reminder 2943 ≠ 0, we apply division lemma to 2264 and 2943, to get
2943 = 2264 x 1 + 679
Step 3: We consider the new divisor 2264 and the new remainder 679, and apply the division lemma to get
2264 = 679 x 3 + 227
We consider the new divisor 679 and the new remainder 227,and apply the division lemma to get
679 = 227 x 2 + 225
We consider the new divisor 227 and the new remainder 225,and apply the division lemma to get
227 = 225 x 1 + 2
We consider the new divisor 225 and the new remainder 2,and apply the division lemma to get
225 = 2 x 112 + 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 2943 and 8150 is 1
Notice that 1 = HCF(2,1) = HCF(225,2) = HCF(227,225) = HCF(679,227) = HCF(2264,679) = HCF(2943,2264) = HCF(8150,2943) .
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Frequently Asked Questions on HCF of 2943, 8150 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 2943, 8150?
Answer: HCF of 2943, 8150 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2943, 8150 using Euclid's Algorithm?
Answer: For arbitrary numbers 2943, 8150 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.