Highest Common Factor of 1944, 6594 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 1944, 6594 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1944, 6594 is 6 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 1944, 6594 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 1944, 6594 is 6.
HCF(1944, 6594) = 6
HCF of 1944, 6594 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1944, 6594 is 6.
Highest Common Factor of 1944,6594 is 6
Step 1: Since 6594 > 1944, we apply the division lemma to 6594 and 1944, to get
6594 = 1944 x 3 + 762
Step 2: Since the reminder 1944 ≠ 0, we apply division lemma to 762 and 1944, to get
1944 = 762 x 2 + 420
Step 3: We consider the new divisor 762 and the new remainder 420, and apply the division lemma to get
762 = 420 x 1 + 342
We consider the new divisor 420 and the new remainder 342,and apply the division lemma to get
420 = 342 x 1 + 78
We consider the new divisor 342 and the new remainder 78,and apply the division lemma to get
342 = 78 x 4 + 30
We consider the new divisor 78 and the new remainder 30,and apply the division lemma to get
78 = 30 x 2 + 18
We consider the new divisor 30 and the new remainder 18,and apply the division lemma to get
30 = 18 x 1 + 12
We consider the new divisor 18 and the new remainder 12,and apply the division lemma to get
18 = 12 x 1 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1944 and 6594 is 6
Notice that 6 = HCF(12,6) = HCF(18,12) = HCF(30,18) = HCF(78,30) = HCF(342,78) = HCF(420,342) = HCF(762,420) = HCF(1944,762) = HCF(6594,1944) .
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Frequently Asked Questions on HCF of 1944, 6594 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 1944, 6594?
Answer: HCF of 1944, 6594 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1944, 6594 using Euclid's Algorithm?
Answer: For arbitrary numbers 1944, 6594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.