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 559, 623, 630, 80 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 559, 623, 630, 80 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 559, 623, 630, 80 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 559, 623, 630, 80 is 1.
HCF(559, 623, 630, 80) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 559, 623, 630, 80 is 1.
Step 1: Since 623 > 559, we apply the division lemma to 623 and 559, to get
623 = 559 x 1 + 64
Step 2: Since the reminder 559 ≠ 0, we apply division lemma to 64 and 559, to get
559 = 64 x 8 + 47
Step 3: We consider the new divisor 64 and the new remainder 47, and apply the division lemma to get
64 = 47 x 1 + 17
We consider the new divisor 47 and the new remainder 17,and apply the division lemma to get
47 = 17 x 2 + 13
We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 559 and 623 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(47,17) = HCF(64,47) = HCF(559,64) = HCF(623,559) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 630 > 1, we apply the division lemma to 630 and 1, to get
630 = 1 x 630 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 630 is 1
Notice that 1 = HCF(630,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80 > 1, we apply the division lemma to 80 and 1, to get
80 = 1 x 80 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 80 is 1
Notice that 1 = HCF(80,1) .
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 559, 623, 630, 80?
Answer: HCF of 559, 623, 630, 80 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 559, 623, 630, 80 using Euclid's Algorithm?
Answer: For arbitrary numbers 559, 623, 630, 80 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.