Highest Common Factor of 428, 653 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 428, 653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 428, 653 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 428, 653 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 428, 653 is 1.
HCF(428, 653) = 1
HCF of 428, 653 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 428, 653 is 1.
Highest Common Factor of 428,653 is 1
Step 1: Since 653 > 428, we apply the division lemma to 653 and 428, to get
653 = 428 x 1 + 225
Step 2: Since the reminder 428 ≠ 0, we apply division lemma to 225 and 428, to get
428 = 225 x 1 + 203
Step 3: We consider the new divisor 225 and the new remainder 203, and apply the division lemma to get
225 = 203 x 1 + 22
We consider the new divisor 203 and the new remainder 22,and apply the division lemma to get
203 = 22 x 9 + 5
We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get
22 = 5 x 4 + 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 428 and 653 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(203,22) = HCF(225,203) = HCF(428,225) = HCF(653,428) .
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Frequently Asked Questions on HCF of 428, 653 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 428, 653?
Answer: HCF of 428, 653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 428, 653 using Euclid's Algorithm?
Answer: For arbitrary numbers 428, 653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
