Highest Common Factor of 645, 602, 487, 914 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 645, 602, 487, 914 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 645, 602, 487, 914 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 645, 602, 487, 914 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 645, 602, 487, 914 is 1.
HCF(645, 602, 487, 914) = 1
HCF of 645, 602, 487, 914 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 645, 602, 487, 914 is 1.
Highest Common Factor of 645,602,487,914 is 1
Step 1: Since 645 > 602, we apply the division lemma to 645 and 602, to get
645 = 602 x 1 + 43
Step 2: Since the reminder 602 ≠ 0, we apply division lemma to 43 and 602, to get
602 = 43 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 43, the HCF of 645 and 602 is 43
Notice that 43 = HCF(602,43) = HCF(645,602) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 487 > 43, we apply the division lemma to 487 and 43, to get
487 = 43 x 11 + 14
Step 2: Since the reminder 43 ≠ 0, we apply division lemma to 14 and 43, to get
43 = 14 x 3 + 1
Step 3: We consider the new divisor 14 and the new remainder 1, and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 43 and 487 is 1
Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(487,43) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 914 > 1, we apply the division lemma to 914 and 1, to get
914 = 1 x 914 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 914 is 1
Notice that 1 = HCF(914,1) .
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Frequently Asked Questions on HCF of 645, 602, 487, 914 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 645, 602, 487, 914?
Answer: HCF of 645, 602, 487, 914 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 645, 602, 487, 914 using Euclid's Algorithm?
Answer: For arbitrary numbers 645, 602, 487, 914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.