Highest Common Factor of 6744, 2945 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 6744, 2945 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6744, 2945 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 6744, 2945 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 6744, 2945 is 1.
HCF(6744, 2945) = 1
HCF of 6744, 2945 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6744, 2945 is 1.
Highest Common Factor of 6744,2945 is 1
Step 1: Since 6744 > 2945, we apply the division lemma to 6744 and 2945, to get
6744 = 2945 x 2 + 854
Step 2: Since the reminder 2945 ≠ 0, we apply division lemma to 854 and 2945, to get
2945 = 854 x 3 + 383
Step 3: We consider the new divisor 854 and the new remainder 383, and apply the division lemma to get
854 = 383 x 2 + 88
We consider the new divisor 383 and the new remainder 88,and apply the division lemma to get
383 = 88 x 4 + 31
We consider the new divisor 88 and the new remainder 31,and apply the division lemma to get
88 = 31 x 2 + 26
We consider the new divisor 31 and the new remainder 26,and apply the division lemma to get
31 = 26 x 1 + 5
We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get
26 = 5 x 5 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6744 and 2945 is 1
Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(31,26) = HCF(88,31) = HCF(383,88) = HCF(854,383) = HCF(2945,854) = HCF(6744,2945) .
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Frequently Asked Questions on HCF of 6744, 2945 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 6744, 2945?
Answer: HCF of 6744, 2945 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6744, 2945 using Euclid's Algorithm?
Answer: For arbitrary numbers 6744, 2945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.