Highest Common Factor of 623, 987, 425 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 623, 987, 425 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 623, 987, 425 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 623, 987, 425 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 623, 987, 425 is 1.
HCF(623, 987, 425) = 1
HCF of 623, 987, 425 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 623, 987, 425 is 1.
Highest Common Factor of 623,987,425 is 1
Step 1: Since 987 > 623, we apply the division lemma to 987 and 623, to get
987 = 623 x 1 + 364
Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 364 and 623, to get
623 = 364 x 1 + 259
Step 3: We consider the new divisor 364 and the new remainder 259, and apply the division lemma to get
364 = 259 x 1 + 105
We consider the new divisor 259 and the new remainder 105,and apply the division lemma to get
259 = 105 x 2 + 49
We consider the new divisor 105 and the new remainder 49,and apply the division lemma to get
105 = 49 x 2 + 7
We consider the new divisor 49 and the new remainder 7,and apply the division lemma to get
49 = 7 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 623 and 987 is 7
Notice that 7 = HCF(49,7) = HCF(105,49) = HCF(259,105) = HCF(364,259) = HCF(623,364) = HCF(987,623) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 425 > 7, we apply the division lemma to 425 and 7, to get
425 = 7 x 60 + 5
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 5 and 7, to get
7 = 5 x 1 + 2
Step 3: 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 7 and 425 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(425,7) .
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Frequently Asked Questions on HCF of 623, 987, 425 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 623, 987, 425?
Answer: HCF of 623, 987, 425 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 623, 987, 425 using Euclid's Algorithm?
Answer: For arbitrary numbers 623, 987, 425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.