Highest Common Factor of 2947, 3391 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 2947, 3391 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2947, 3391 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 2947, 3391 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 2947, 3391 is 1.
HCF(2947, 3391) = 1
HCF of 2947, 3391 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2947, 3391 is 1.
Highest Common Factor of 2947,3391 is 1
Step 1: Since 3391 > 2947, we apply the division lemma to 3391 and 2947, to get
3391 = 2947 x 1 + 444
Step 2: Since the reminder 2947 ≠ 0, we apply division lemma to 444 and 2947, to get
2947 = 444 x 6 + 283
Step 3: We consider the new divisor 444 and the new remainder 283, and apply the division lemma to get
444 = 283 x 1 + 161
We consider the new divisor 283 and the new remainder 161,and apply the division lemma to get
283 = 161 x 1 + 122
We consider the new divisor 161 and the new remainder 122,and apply the division lemma to get
161 = 122 x 1 + 39
We consider the new divisor 122 and the new remainder 39,and apply the division lemma to get
122 = 39 x 3 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2947 and 3391 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(122,39) = HCF(161,122) = HCF(283,161) = HCF(444,283) = HCF(2947,444) = HCF(3391,2947) .
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Frequently Asked Questions on HCF of 2947, 3391 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 2947, 3391?
Answer: HCF of 2947, 3391 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2947, 3391 using Euclid's Algorithm?
Answer: For arbitrary numbers 2947, 3391 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.