Highest Common Factor of 640, 6029, 4270 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 640, 6029, 4270 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 640, 6029, 4270 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 640, 6029, 4270 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 640, 6029, 4270 is 1.
HCF(640, 6029, 4270) = 1
HCF of 640, 6029, 4270 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 640, 6029, 4270 is 1.
Highest Common Factor of 640,6029,4270 is 1
Step 1: Since 6029 > 640, we apply the division lemma to 6029 and 640, to get
6029 = 640 x 9 + 269
Step 2: Since the reminder 640 ≠ 0, we apply division lemma to 269 and 640, to get
640 = 269 x 2 + 102
Step 3: We consider the new divisor 269 and the new remainder 102, and apply the division lemma to get
269 = 102 x 2 + 65
We consider the new divisor 102 and the new remainder 65,and apply the division lemma to get
102 = 65 x 1 + 37
We consider the new divisor 65 and the new remainder 37,and apply the division lemma to get
65 = 37 x 1 + 28
We consider the new divisor 37 and the new remainder 28,and apply the division lemma to get
37 = 28 x 1 + 9
We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get
28 = 9 x 3 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 640 and 6029 is 1
Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(37,28) = HCF(65,37) = HCF(102,65) = HCF(269,102) = HCF(640,269) = HCF(6029,640) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4270 > 1, we apply the division lemma to 4270 and 1, to get
4270 = 1 x 4270 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4270 is 1
Notice that 1 = HCF(4270,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 640, 6029, 4270 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 640, 6029, 4270?
Answer: HCF of 640, 6029, 4270 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 640, 6029, 4270 using Euclid's Algorithm?
Answer: For arbitrary numbers 640, 6029, 4270 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.