Highest Common Factor of 714, 6301, 4003 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 714, 6301, 4003 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 714, 6301, 4003 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 714, 6301, 4003 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 714, 6301, 4003 is 1.
HCF(714, 6301, 4003) = 1
HCF of 714, 6301, 4003 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 714, 6301, 4003 is 1.
Highest Common Factor of 714,6301,4003 is 1
Step 1: Since 6301 > 714, we apply the division lemma to 6301 and 714, to get
6301 = 714 x 8 + 589
Step 2: Since the reminder 714 ≠ 0, we apply division lemma to 589 and 714, to get
714 = 589 x 1 + 125
Step 3: We consider the new divisor 589 and the new remainder 125, and apply the division lemma to get
589 = 125 x 4 + 89
We consider the new divisor 125 and the new remainder 89,and apply the division lemma to get
125 = 89 x 1 + 36
We consider the new divisor 89 and the new remainder 36,and apply the division lemma to get
89 = 36 x 2 + 17
We consider the new divisor 36 and the new remainder 17,and apply the division lemma to get
36 = 17 x 2 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 714 and 6301 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(36,17) = HCF(89,36) = HCF(125,89) = HCF(589,125) = HCF(714,589) = HCF(6301,714) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4003 > 1, we apply the division lemma to 4003 and 1, to get
4003 = 1 x 4003 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4003 is 1
Notice that 1 = HCF(4003,1) .
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Frequently Asked Questions on HCF of 714, 6301, 4003 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 714, 6301, 4003?
Answer: HCF of 714, 6301, 4003 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 714, 6301, 4003 using Euclid's Algorithm?
Answer: For arbitrary numbers 714, 6301, 4003 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.