Highest Common Factor of 608, 952, 524 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 608, 952, 524 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 608, 952, 524 is 4 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 608, 952, 524 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 608, 952, 524 is 4.
HCF(608, 952, 524) = 4
HCF of 608, 952, 524 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 608, 952, 524 is 4.
Highest Common Factor of 608,952,524 is 4
Step 1: Since 952 > 608, we apply the division lemma to 952 and 608, to get
952 = 608 x 1 + 344
Step 2: Since the reminder 608 ≠ 0, we apply division lemma to 344 and 608, to get
608 = 344 x 1 + 264
Step 3: We consider the new divisor 344 and the new remainder 264, and apply the division lemma to get
344 = 264 x 1 + 80
We consider the new divisor 264 and the new remainder 80,and apply the division lemma to get
264 = 80 x 3 + 24
We consider the new divisor 80 and the new remainder 24,and apply the division lemma to get
80 = 24 x 3 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 608 and 952 is 8
Notice that 8 = HCF(24,8) = HCF(80,24) = HCF(264,80) = HCF(344,264) = HCF(608,344) = HCF(952,608) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 524 > 8, we apply the division lemma to 524 and 8, to get
524 = 8 x 65 + 4
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 4 and 8, to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8 and 524 is 4
Notice that 4 = HCF(8,4) = HCF(524,8) .
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Frequently Asked Questions on HCF of 608, 952, 524 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 608, 952, 524?
Answer: HCF of 608, 952, 524 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 608, 952, 524 using Euclid's Algorithm?
Answer: For arbitrary numbers 608, 952, 524 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.