Highest Common Factor of 487, 644, 644, 26 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 487, 644, 644, 26 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 487, 644, 644, 26 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 487, 644, 644, 26 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 487, 644, 644, 26 is 1.
HCF(487, 644, 644, 26) = 1
HCF of 487, 644, 644, 26 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 487, 644, 644, 26 is 1.
Highest Common Factor of 487,644,644,26 is 1
Step 1: Since 644 > 487, we apply the division lemma to 644 and 487, to get
644 = 487 x 1 + 157
Step 2: Since the reminder 487 ≠ 0, we apply division lemma to 157 and 487, to get
487 = 157 x 3 + 16
Step 3: We consider the new divisor 157 and the new remainder 16, and apply the division lemma to get
157 = 16 x 9 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 487 and 644 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(157,16) = HCF(487,157) = HCF(644,487) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 644 > 1, we apply the division lemma to 644 and 1, to get
644 = 1 x 644 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 644 is 1
Notice that 1 = HCF(644,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 26 > 1, we apply the division lemma to 26 and 1, to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 26 is 1
Notice that 1 = HCF(26,1) .
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Frequently Asked Questions on HCF of 487, 644, 644, 26 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 487, 644, 644, 26?
Answer: HCF of 487, 644, 644, 26 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 487, 644, 644, 26 using Euclid's Algorithm?
Answer: For arbitrary numbers 487, 644, 644, 26 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
