Highest Common Factor of 6797, 2954, 60328 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 6797, 2954, 60328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6797, 2954, 60328 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 6797, 2954, 60328 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 6797, 2954, 60328 is 1.
HCF(6797, 2954, 60328) = 1
HCF of 6797, 2954, 60328 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6797, 2954, 60328 is 1.
Highest Common Factor of 6797,2954,60328 is 1
Step 1: Since 6797 > 2954, we apply the division lemma to 6797 and 2954, to get
6797 = 2954 x 2 + 889
Step 2: Since the reminder 2954 ≠ 0, we apply division lemma to 889 and 2954, to get
2954 = 889 x 3 + 287
Step 3: We consider the new divisor 889 and the new remainder 287, and apply the division lemma to get
889 = 287 x 3 + 28
We consider the new divisor 287 and the new remainder 28,and apply the division lemma to get
287 = 28 x 10 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 6797 and 2954 is 7
Notice that 7 = HCF(28,7) = HCF(287,28) = HCF(889,287) = HCF(2954,889) = HCF(6797,2954) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60328 > 7, we apply the division lemma to 60328 and 7, to get
60328 = 7 x 8618 + 2
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 2 and 7, to get
7 = 2 x 3 + 1
Step 3: 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 60328 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(60328,7) .
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Frequently Asked Questions on HCF of 6797, 2954, 60328 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 6797, 2954, 60328?
Answer: HCF of 6797, 2954, 60328 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6797, 2954, 60328 using Euclid's Algorithm?
Answer: For arbitrary numbers 6797, 2954, 60328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.