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 580, 959, 910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 580, 959, 910 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 580, 959, 910 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 580, 959, 910 is 1.
HCF(580, 959, 910) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 580, 959, 910 is 1.
Step 1: Since 959 > 580, we apply the division lemma to 959 and 580, to get
959 = 580 x 1 + 379
Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 379 and 580, to get
580 = 379 x 1 + 201
Step 3: We consider the new divisor 379 and the new remainder 201, and apply the division lemma to get
379 = 201 x 1 + 178
We consider the new divisor 201 and the new remainder 178,and apply the division lemma to get
201 = 178 x 1 + 23
We consider the new divisor 178 and the new remainder 23,and apply the division lemma to get
178 = 23 x 7 + 17
We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get
23 = 17 x 1 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 580 and 959 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(178,23) = HCF(201,178) = HCF(379,201) = HCF(580,379) = HCF(959,580) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 910 > 1, we apply the division lemma to 910 and 1, to get
910 = 1 x 910 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 910 is 1
Notice that 1 = HCF(910,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 580, 959, 910?
Answer: HCF of 580, 959, 910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 580, 959, 910 using Euclid's Algorithm?
Answer: For arbitrary numbers 580, 959, 910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.