Highest Common Factor of 653, 67425 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 653, 67425 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 653, 67425 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 653, 67425 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 653, 67425 is 1.
HCF(653, 67425) = 1
HCF of 653, 67425 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 653, 67425 is 1.
Highest Common Factor of 653,67425 is 1
Step 1: Since 67425 > 653, we apply the division lemma to 67425 and 653, to get
67425 = 653 x 103 + 166
Step 2: Since the reminder 653 ≠ 0, we apply division lemma to 166 and 653, to get
653 = 166 x 3 + 155
Step 3: We consider the new divisor 166 and the new remainder 155, and apply the division lemma to get
166 = 155 x 1 + 11
We consider the new divisor 155 and the new remainder 11,and apply the division lemma to get
155 = 11 x 14 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 653 and 67425 is 1
Notice that 1 = HCF(11,1) = HCF(155,11) = HCF(166,155) = HCF(653,166) = HCF(67425,653) .
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Frequently Asked Questions on HCF of 653, 67425 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 653, 67425?
Answer: HCF of 653, 67425 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 653, 67425 using Euclid's Algorithm?
Answer: For arbitrary numbers 653, 67425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
