Highest Common Factor of 5060, 4675, 16787 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 5060, 4675, 16787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5060, 4675, 16787 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 5060, 4675, 16787 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 5060, 4675, 16787 is 1.
HCF(5060, 4675, 16787) = 1
HCF of 5060, 4675, 16787 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5060, 4675, 16787 is 1.
Highest Common Factor of 5060,4675,16787 is 1
Step 1: Since 5060 > 4675, we apply the division lemma to 5060 and 4675, to get
5060 = 4675 x 1 + 385
Step 2: Since the reminder 4675 ≠ 0, we apply division lemma to 385 and 4675, to get
4675 = 385 x 12 + 55
Step 3: We consider the new divisor 385 and the new remainder 55, and apply the division lemma to get
385 = 55 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 55, the HCF of 5060 and 4675 is 55
Notice that 55 = HCF(385,55) = HCF(4675,385) = HCF(5060,4675) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16787 > 55, we apply the division lemma to 16787 and 55, to get
16787 = 55 x 305 + 12
Step 2: Since the reminder 55 ≠ 0, we apply division lemma to 12 and 55, to get
55 = 12 x 4 + 7
Step 3: We consider the new divisor 12 and the new remainder 7, and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 55 and 16787 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(55,12) = HCF(16787,55) .
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Frequently Asked Questions on HCF of 5060, 4675, 16787 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 5060, 4675, 16787?
Answer: HCF of 5060, 4675, 16787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5060, 4675, 16787 using Euclid's Algorithm?
Answer: For arbitrary numbers 5060, 4675, 16787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.