Highest Common Factor of 744, 195 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 744, 195 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 744, 195 is 3 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 744, 195 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 744, 195 is 3.
HCF(744, 195) = 3
HCF of 744, 195 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 744, 195 is 3.
Highest Common Factor of 744,195 is 3
Step 1: Since 744 > 195, we apply the division lemma to 744 and 195, to get
744 = 195 x 3 + 159
Step 2: Since the reminder 195 ≠ 0, we apply division lemma to 159 and 195, to get
195 = 159 x 1 + 36
Step 3: We consider the new divisor 159 and the new remainder 36, and apply the division lemma to get
159 = 36 x 4 + 15
We consider the new divisor 36 and the new remainder 15,and apply the division lemma to get
36 = 15 x 2 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 744 and 195 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(36,15) = HCF(159,36) = HCF(195,159) = HCF(744,195) .
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Frequently Asked Questions on HCF of 744, 195 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 744, 195?
Answer: HCF of 744, 195 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 744, 195 using Euclid's Algorithm?
Answer: For arbitrary numbers 744, 195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.