Highest Common Factor of 3656, 5351, 54960 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 3656, 5351, 54960 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3656, 5351, 54960 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 3656, 5351, 54960 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 3656, 5351, 54960 is 1.
HCF(3656, 5351, 54960) = 1
HCF of 3656, 5351, 54960 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3656, 5351, 54960 is 1.
Highest Common Factor of 3656,5351,54960 is 1
Step 1: Since 5351 > 3656, we apply the division lemma to 5351 and 3656, to get
5351 = 3656 x 1 + 1695
Step 2: Since the reminder 3656 ≠ 0, we apply division lemma to 1695 and 3656, to get
3656 = 1695 x 2 + 266
Step 3: We consider the new divisor 1695 and the new remainder 266, and apply the division lemma to get
1695 = 266 x 6 + 99
We consider the new divisor 266 and the new remainder 99,and apply the division lemma to get
266 = 99 x 2 + 68
We consider the new divisor 99 and the new remainder 68,and apply the division lemma to get
99 = 68 x 1 + 31
We consider the new divisor 68 and the new remainder 31,and apply the division lemma to get
68 = 31 x 2 + 6
We consider the new divisor 31 and the new remainder 6,and apply the division lemma to get
31 = 6 x 5 + 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 3656 and 5351 is 1
Notice that 1 = HCF(6,1) = HCF(31,6) = HCF(68,31) = HCF(99,68) = HCF(266,99) = HCF(1695,266) = HCF(3656,1695) = HCF(5351,3656) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54960 > 1, we apply the division lemma to 54960 and 1, to get
54960 = 1 x 54960 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54960 is 1
Notice that 1 = HCF(54960,1) .
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Frequently Asked Questions on HCF of 3656, 5351, 54960 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 3656, 5351, 54960?
Answer: HCF of 3656, 5351, 54960 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3656, 5351, 54960 using Euclid's Algorithm?
Answer: For arbitrary numbers 3656, 5351, 54960 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.