Highest Common Factor of 4730, 2314, 20207 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 4730, 2314, 20207 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4730, 2314, 20207 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 4730, 2314, 20207 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 4730, 2314, 20207 is 1.
HCF(4730, 2314, 20207) = 1
HCF of 4730, 2314, 20207 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4730, 2314, 20207 is 1.
Highest Common Factor of 4730,2314,20207 is 1
Step 1: Since 4730 > 2314, we apply the division lemma to 4730 and 2314, to get
4730 = 2314 x 2 + 102
Step 2: Since the reminder 2314 ≠ 0, we apply division lemma to 102 and 2314, to get
2314 = 102 x 22 + 70
Step 3: We consider the new divisor 102 and the new remainder 70, and apply the division lemma to get
102 = 70 x 1 + 32
We consider the new divisor 70 and the new remainder 32,and apply the division lemma to get
70 = 32 x 2 + 6
We consider the new divisor 32 and the new remainder 6,and apply the division lemma to get
32 = 6 x 5 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4730 and 2314 is 2
Notice that 2 = HCF(6,2) = HCF(32,6) = HCF(70,32) = HCF(102,70) = HCF(2314,102) = HCF(4730,2314) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 20207 > 2, we apply the division lemma to 20207 and 2, to get
20207 = 2 x 10103 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 20207 is 1
Notice that 1 = HCF(2,1) = HCF(20207,2) .
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Frequently Asked Questions on HCF of 4730, 2314, 20207 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 4730, 2314, 20207?
Answer: HCF of 4730, 2314, 20207 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4730, 2314, 20207 using Euclid's Algorithm?
Answer: For arbitrary numbers 4730, 2314, 20207 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
