Highest Common Factor of 963, 626, 657, 78 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 963, 626, 657, 78 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 963, 626, 657, 78 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 963, 626, 657, 78 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 963, 626, 657, 78 is 1.
HCF(963, 626, 657, 78) = 1
HCF of 963, 626, 657, 78 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 963, 626, 657, 78 is 1.
Highest Common Factor of 963,626,657,78 is 1
Step 1: Since 963 > 626, we apply the division lemma to 963 and 626, to get
963 = 626 x 1 + 337
Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 337 and 626, to get
626 = 337 x 1 + 289
Step 3: We consider the new divisor 337 and the new remainder 289, and apply the division lemma to get
337 = 289 x 1 + 48
We consider the new divisor 289 and the new remainder 48,and apply the division lemma to get
289 = 48 x 6 + 1
We consider the new divisor 48 and the new remainder 1,and apply the division lemma to get
48 = 1 x 48 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 963 and 626 is 1
Notice that 1 = HCF(48,1) = HCF(289,48) = HCF(337,289) = HCF(626,337) = HCF(963,626) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 657 > 1, we apply the division lemma to 657 and 1, to get
657 = 1 x 657 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 657 is 1
Notice that 1 = HCF(657,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 78 > 1, we apply the division lemma to 78 and 1, to get
78 = 1 x 78 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78 is 1
Notice that 1 = HCF(78,1) .
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Frequently Asked Questions on HCF of 963, 626, 657, 78 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 963, 626, 657, 78?
Answer: HCF of 963, 626, 657, 78 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 963, 626, 657, 78 using Euclid's Algorithm?
Answer: For arbitrary numbers 963, 626, 657, 78 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.