Highest Common Factor of 959, 627, 103 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 959, 627, 103 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 959, 627, 103 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 959, 627, 103 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 959, 627, 103 is 1.
HCF(959, 627, 103) = 1
HCF of 959, 627, 103 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 959, 627, 103 is 1.
Highest Common Factor of 959,627,103 is 1
Step 1: Since 959 > 627, we apply the division lemma to 959 and 627, to get
959 = 627 x 1 + 332
Step 2: Since the reminder 627 ≠ 0, we apply division lemma to 332 and 627, to get
627 = 332 x 1 + 295
Step 3: We consider the new divisor 332 and the new remainder 295, and apply the division lemma to get
332 = 295 x 1 + 37
We consider the new divisor 295 and the new remainder 37,and apply the division lemma to get
295 = 37 x 7 + 36
We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get
37 = 36 x 1 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 959 and 627 is 1
Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(295,37) = HCF(332,295) = HCF(627,332) = HCF(959,627) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 103 > 1, we apply the division lemma to 103 and 1, to get
103 = 1 x 103 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 103 is 1
Notice that 1 = HCF(103,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 959, 627, 103 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 959, 627, 103?
Answer: HCF of 959, 627, 103 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 959, 627, 103 using Euclid's Algorithm?
Answer: For arbitrary numbers 959, 627, 103 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.