Highest Common Factor of 3592, 8121, 15644 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 3592, 8121, 15644 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3592, 8121, 15644 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 3592, 8121, 15644 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 3592, 8121, 15644 is 1.
HCF(3592, 8121, 15644) = 1
HCF of 3592, 8121, 15644 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3592, 8121, 15644 is 1.
Highest Common Factor of 3592,8121,15644 is 1
Step 1: Since 8121 > 3592, we apply the division lemma to 8121 and 3592, to get
8121 = 3592 x 2 + 937
Step 2: Since the reminder 3592 ≠ 0, we apply division lemma to 937 and 3592, to get
3592 = 937 x 3 + 781
Step 3: We consider the new divisor 937 and the new remainder 781, and apply the division lemma to get
937 = 781 x 1 + 156
We consider the new divisor 781 and the new remainder 156,and apply the division lemma to get
781 = 156 x 5 + 1
We consider the new divisor 156 and the new remainder 1,and apply the division lemma to get
156 = 1 x 156 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3592 and 8121 is 1
Notice that 1 = HCF(156,1) = HCF(781,156) = HCF(937,781) = HCF(3592,937) = HCF(8121,3592) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15644 > 1, we apply the division lemma to 15644 and 1, to get
15644 = 1 x 15644 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15644 is 1
Notice that 1 = HCF(15644,1) .
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Frequently Asked Questions on HCF of 3592, 8121, 15644 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 3592, 8121, 15644?
Answer: HCF of 3592, 8121, 15644 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3592, 8121, 15644 using Euclid's Algorithm?
Answer: For arbitrary numbers 3592, 8121, 15644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
