Highest Common Factor of 752, 206, 535, 587 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 752, 206, 535, 587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 752, 206, 535, 587 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 752, 206, 535, 587 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 752, 206, 535, 587 is 1.
HCF(752, 206, 535, 587) = 1
HCF of 752, 206, 535, 587 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 752, 206, 535, 587 is 1.
Highest Common Factor of 752,206,535,587 is 1
Step 1: Since 752 > 206, we apply the division lemma to 752 and 206, to get
752 = 206 x 3 + 134
Step 2: Since the reminder 206 ≠ 0, we apply division lemma to 134 and 206, to get
206 = 134 x 1 + 72
Step 3: We consider the new divisor 134 and the new remainder 72, and apply the division lemma to get
134 = 72 x 1 + 62
We consider the new divisor 72 and the new remainder 62,and apply the division lemma to get
72 = 62 x 1 + 10
We consider the new divisor 62 and the new remainder 10,and apply the division lemma to get
62 = 10 x 6 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 752 and 206 is 2
Notice that 2 = HCF(10,2) = HCF(62,10) = HCF(72,62) = HCF(134,72) = HCF(206,134) = HCF(752,206) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 535 > 2, we apply the division lemma to 535 and 2, to get
535 = 2 x 267 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 535 is 1
Notice that 1 = HCF(2,1) = HCF(535,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 587 > 1, we apply the division lemma to 587 and 1, to get
587 = 1 x 587 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 587 is 1
Notice that 1 = HCF(587,1) .
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Frequently Asked Questions on HCF of 752, 206, 535, 587 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 752, 206, 535, 587?
Answer: HCF of 752, 206, 535, 587 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 752, 206, 535, 587 using Euclid's Algorithm?
Answer: For arbitrary numbers 752, 206, 535, 587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.