Highest Common Factor of 72, 631, 737 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 72, 631, 737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 72, 631, 737 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 72, 631, 737 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 72, 631, 737 is 1.
HCF(72, 631, 737) = 1
HCF of 72, 631, 737 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 72, 631, 737 is 1.
Highest Common Factor of 72,631,737 is 1
Step 1: Since 631 > 72, we apply the division lemma to 631 and 72, to get
631 = 72 x 8 + 55
Step 2: Since the reminder 72 ≠ 0, we apply division lemma to 55 and 72, to get
72 = 55 x 1 + 17
Step 3: We consider the new divisor 55 and the new remainder 17, and apply the division lemma to get
55 = 17 x 3 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 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 72 and 631 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(55,17) = HCF(72,55) = HCF(631,72) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 737 > 1, we apply the division lemma to 737 and 1, to get
737 = 1 x 737 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 737 is 1
Notice that 1 = HCF(737,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 72, 631, 737 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 72, 631, 737?
Answer: HCF of 72, 631, 737 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 72, 631, 737 using Euclid's Algorithm?
Answer: For arbitrary numbers 72, 631, 737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.