Highest Common Factor of 370, 6430, 4233 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 370, 6430, 4233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 370, 6430, 4233 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 370, 6430, 4233 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 370, 6430, 4233 is 1.
HCF(370, 6430, 4233) = 1
HCF of 370, 6430, 4233 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 370, 6430, 4233 is 1.
Highest Common Factor of 370,6430,4233 is 1
Step 1: Since 6430 > 370, we apply the division lemma to 6430 and 370, to get
6430 = 370 x 17 + 140
Step 2: Since the reminder 370 ≠ 0, we apply division lemma to 140 and 370, to get
370 = 140 x 2 + 90
Step 3: We consider the new divisor 140 and the new remainder 90, and apply the division lemma to get
140 = 90 x 1 + 50
We consider the new divisor 90 and the new remainder 50,and apply the division lemma to get
90 = 50 x 1 + 40
We consider the new divisor 50 and the new remainder 40,and apply the division lemma to get
50 = 40 x 1 + 10
We consider the new divisor 40 and the new remainder 10,and apply the division lemma to get
40 = 10 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 370 and 6430 is 10
Notice that 10 = HCF(40,10) = HCF(50,40) = HCF(90,50) = HCF(140,90) = HCF(370,140) = HCF(6430,370) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4233 > 10, we apply the division lemma to 4233 and 10, to get
4233 = 10 x 423 + 3
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 3 and 10, to get
10 = 3 x 3 + 1
Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 10 and 4233 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(4233,10) .
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Frequently Asked Questions on HCF of 370, 6430, 4233 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 370, 6430, 4233?
Answer: HCF of 370, 6430, 4233 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 370, 6430, 4233 using Euclid's Algorithm?
Answer: For arbitrary numbers 370, 6430, 4233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.