Highest Common Factor of 7715, 3724, 44533 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 7715, 3724, 44533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7715, 3724, 44533 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 7715, 3724, 44533 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 7715, 3724, 44533 is 1.
HCF(7715, 3724, 44533) = 1
HCF of 7715, 3724, 44533 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7715, 3724, 44533 is 1.
Highest Common Factor of 7715,3724,44533 is 1
Step 1: Since 7715 > 3724, we apply the division lemma to 7715 and 3724, to get
7715 = 3724 x 2 + 267
Step 2: Since the reminder 3724 ≠ 0, we apply division lemma to 267 and 3724, to get
3724 = 267 x 13 + 253
Step 3: We consider the new divisor 267 and the new remainder 253, and apply the division lemma to get
267 = 253 x 1 + 14
We consider the new divisor 253 and the new remainder 14,and apply the division lemma to get
253 = 14 x 18 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7715 and 3724 is 1
Notice that 1 = HCF(14,1) = HCF(253,14) = HCF(267,253) = HCF(3724,267) = HCF(7715,3724) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 44533 > 1, we apply the division lemma to 44533 and 1, to get
44533 = 1 x 44533 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 44533 is 1
Notice that 1 = HCF(44533,1) .
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Frequently Asked Questions on HCF of 7715, 3724, 44533 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 7715, 3724, 44533?
Answer: HCF of 7715, 3724, 44533 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7715, 3724, 44533 using Euclid's Algorithm?
Answer: For arbitrary numbers 7715, 3724, 44533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.