Highest Common Factor of 159, 689, 742 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 159, 689, 742 i.e. 53 the largest integer that leaves a remainder zero for all numbers.
HCF of 159, 689, 742 is 53 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 159, 689, 742 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 159, 689, 742 is 53.
HCF(159, 689, 742) = 53
HCF of 159, 689, 742 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 159, 689, 742 is 53.
Highest Common Factor of 159,689,742 is 53
Step 1: Since 689 > 159, we apply the division lemma to 689 and 159, to get
689 = 159 x 4 + 53
Step 2: Since the reminder 159 ≠ 0, we apply division lemma to 53 and 159, to get
159 = 53 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 159 and 689 is 53
Notice that 53 = HCF(159,53) = HCF(689,159) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 742 > 53, we apply the division lemma to 742 and 53, to get
742 = 53 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 53 and 742 is 53
Notice that 53 = HCF(742,53) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 159, 689, 742 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 159, 689, 742?
Answer: HCF of 159, 689, 742 is 53 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 159, 689, 742 using Euclid's Algorithm?
Answer: For arbitrary numbers 159, 689, 742 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
