Highest Common Factor of 634, 578, 587, 528 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 634, 578, 587, 528 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 634, 578, 587, 528 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 634, 578, 587, 528 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 634, 578, 587, 528 is 1.
HCF(634, 578, 587, 528) = 1
HCF of 634, 578, 587, 528 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 634, 578, 587, 528 is 1.
Highest Common Factor of 634,578,587,528 is 1
Step 1: Since 634 > 578, we apply the division lemma to 634 and 578, to get
634 = 578 x 1 + 56
Step 2: Since the reminder 578 ≠ 0, we apply division lemma to 56 and 578, to get
578 = 56 x 10 + 18
Step 3: We consider the new divisor 56 and the new remainder 18, and apply the division lemma to get
56 = 18 x 3 + 2
We consider the new divisor 18 and the new remainder 2, and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 634 and 578 is 2
Notice that 2 = HCF(18,2) = HCF(56,18) = HCF(578,56) = HCF(634,578) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 587 > 2, we apply the division lemma to 587 and 2, to get
587 = 2 x 293 + 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 587 is 1
Notice that 1 = HCF(2,1) = HCF(587,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 528 > 1, we apply the division lemma to 528 and 1, to get
528 = 1 x 528 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 528 is 1
Notice that 1 = HCF(528,1) .
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Frequently Asked Questions on HCF of 634, 578, 587, 528 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 634, 578, 587, 528?
Answer: HCF of 634, 578, 587, 528 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 634, 578, 587, 528 using Euclid's Algorithm?
Answer: For arbitrary numbers 634, 578, 587, 528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
