Highest Common Factor of 959, 519 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, 519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 959, 519 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, 519 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, 519 is 1.
HCF(959, 519) = 1
HCF of 959, 519 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, 519 is 1.
Highest Common Factor of 959,519 is 1
Step 1: Since 959 > 519, we apply the division lemma to 959 and 519, to get
959 = 519 x 1 + 440
Step 2: Since the reminder 519 ≠ 0, we apply division lemma to 440 and 519, to get
519 = 440 x 1 + 79
Step 3: We consider the new divisor 440 and the new remainder 79, and apply the division lemma to get
440 = 79 x 5 + 45
We consider the new divisor 79 and the new remainder 45,and apply the division lemma to get
79 = 45 x 1 + 34
We consider the new divisor 45 and the new remainder 34,and apply the division lemma to get
45 = 34 x 1 + 11
We consider the new divisor 34 and the new remainder 11,and apply the division lemma to get
34 = 11 x 3 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 959 and 519 is 1
Notice that 1 = HCF(11,1) = HCF(34,11) = HCF(45,34) = HCF(79,45) = HCF(440,79) = HCF(519,440) = HCF(959,519) .
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, 519 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, 519?
Answer: HCF of 959, 519 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 959, 519 using Euclid's Algorithm?
Answer: For arbitrary numbers 959, 519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.