Highest Common Factor of 524, 4471, 5672 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 524, 4471, 5672 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 524, 4471, 5672 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 524, 4471, 5672 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 524, 4471, 5672 is 1.
HCF(524, 4471, 5672) = 1
HCF of 524, 4471, 5672 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 524, 4471, 5672 is 1.
Highest Common Factor of 524,4471,5672 is 1
Step 1: Since 4471 > 524, we apply the division lemma to 4471 and 524, to get
4471 = 524 x 8 + 279
Step 2: Since the reminder 524 ≠ 0, we apply division lemma to 279 and 524, to get
524 = 279 x 1 + 245
Step 3: We consider the new divisor 279 and the new remainder 245, and apply the division lemma to get
279 = 245 x 1 + 34
We consider the new divisor 245 and the new remainder 34,and apply the division lemma to get
245 = 34 x 7 + 7
We consider the new divisor 34 and the new remainder 7,and apply the division lemma to get
34 = 7 x 4 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 524 and 4471 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(34,7) = HCF(245,34) = HCF(279,245) = HCF(524,279) = HCF(4471,524) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5672 > 1, we apply the division lemma to 5672 and 1, to get
5672 = 1 x 5672 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5672 is 1
Notice that 1 = HCF(5672,1) .
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Frequently Asked Questions on HCF of 524, 4471, 5672 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 524, 4471, 5672?
Answer: HCF of 524, 4471, 5672 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 524, 4471, 5672 using Euclid's Algorithm?
Answer: For arbitrary numbers 524, 4471, 5672 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.