Highest Common Factor of 668, 7201 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 668, 7201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 668, 7201 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 668, 7201 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 668, 7201 is 1.
HCF(668, 7201) = 1
HCF of 668, 7201 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 668, 7201 is 1.
Highest Common Factor of 668,7201 is 1
Step 1: Since 7201 > 668, we apply the division lemma to 7201 and 668, to get
7201 = 668 x 10 + 521
Step 2: Since the reminder 668 ≠ 0, we apply division lemma to 521 and 668, to get
668 = 521 x 1 + 147
Step 3: We consider the new divisor 521 and the new remainder 147, and apply the division lemma to get
521 = 147 x 3 + 80
We consider the new divisor 147 and the new remainder 80,and apply the division lemma to get
147 = 80 x 1 + 67
We consider the new divisor 80 and the new remainder 67,and apply the division lemma to get
80 = 67 x 1 + 13
We consider the new divisor 67 and the new remainder 13,and apply the division lemma to get
67 = 13 x 5 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 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 668 and 7201 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(67,13) = HCF(80,67) = HCF(147,80) = HCF(521,147) = HCF(668,521) = HCF(7201,668) .
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Frequently Asked Questions on HCF of 668, 7201 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 668, 7201?
Answer: HCF of 668, 7201 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 668, 7201 using Euclid's Algorithm?
Answer: For arbitrary numbers 668, 7201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.