Highest Common Factor of 642, 395, 721 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 642, 395, 721 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 642, 395, 721 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 642, 395, 721 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 642, 395, 721 is 1.
HCF(642, 395, 721) = 1
HCF of 642, 395, 721 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 642, 395, 721 is 1.
Highest Common Factor of 642,395,721 is 1
Step 1: Since 642 > 395, we apply the division lemma to 642 and 395, to get
642 = 395 x 1 + 247
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 247 and 395, to get
395 = 247 x 1 + 148
Step 3: We consider the new divisor 247 and the new remainder 148, and apply the division lemma to get
247 = 148 x 1 + 99
We consider the new divisor 148 and the new remainder 99,and apply the division lemma to get
148 = 99 x 1 + 49
We consider the new divisor 99 and the new remainder 49,and apply the division lemma to get
99 = 49 x 2 + 1
We consider the new divisor 49 and the new remainder 1,and apply the division lemma to get
49 = 1 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 642 and 395 is 1
Notice that 1 = HCF(49,1) = HCF(99,49) = HCF(148,99) = HCF(247,148) = HCF(395,247) = HCF(642,395) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 721 > 1, we apply the division lemma to 721 and 1, to get
721 = 1 x 721 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 721 is 1
Notice that 1 = HCF(721,1) .
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Frequently Asked Questions on HCF of 642, 395, 721 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 642, 395, 721?
Answer: HCF of 642, 395, 721 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 642, 395, 721 using Euclid's Algorithm?
Answer: For arbitrary numbers 642, 395, 721 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
