Highest Common Factor of 738, 631, 634 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 738, 631, 634 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 738, 631, 634 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 738, 631, 634 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 738, 631, 634 is 1.
HCF(738, 631, 634) = 1
HCF of 738, 631, 634 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 738, 631, 634 is 1.
Highest Common Factor of 738,631,634 is 1
Step 1: Since 738 > 631, we apply the division lemma to 738 and 631, to get
738 = 631 x 1 + 107
Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 107 and 631, to get
631 = 107 x 5 + 96
Step 3: We consider the new divisor 107 and the new remainder 96, and apply the division lemma to get
107 = 96 x 1 + 11
We consider the new divisor 96 and the new remainder 11,and apply the division lemma to get
96 = 11 x 8 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 738 and 631 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(96,11) = HCF(107,96) = HCF(631,107) = HCF(738,631) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 634 > 1, we apply the division lemma to 634 and 1, to get
634 = 1 x 634 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 634 is 1
Notice that 1 = HCF(634,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 738, 631, 634 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 738, 631, 634?
Answer: HCF of 738, 631, 634 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 738, 631, 634 using Euclid's Algorithm?
Answer: For arbitrary numbers 738, 631, 634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.