Highest Common Factor of 779, 4341, 9871 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 779, 4341, 9871 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 779, 4341, 9871 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 779, 4341, 9871 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 779, 4341, 9871 is 1.
HCF(779, 4341, 9871) = 1
HCF of 779, 4341, 9871 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 779, 4341, 9871 is 1.
Highest Common Factor of 779,4341,9871 is 1
Step 1: Since 4341 > 779, we apply the division lemma to 4341 and 779, to get
4341 = 779 x 5 + 446
Step 2: Since the reminder 779 ≠ 0, we apply division lemma to 446 and 779, to get
779 = 446 x 1 + 333
Step 3: We consider the new divisor 446 and the new remainder 333, and apply the division lemma to get
446 = 333 x 1 + 113
We consider the new divisor 333 and the new remainder 113,and apply the division lemma to get
333 = 113 x 2 + 107
We consider the new divisor 113 and the new remainder 107,and apply the division lemma to get
113 = 107 x 1 + 6
We consider the new divisor 107 and the new remainder 6,and apply the division lemma to get
107 = 6 x 17 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 779 and 4341 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(107,6) = HCF(113,107) = HCF(333,113) = HCF(446,333) = HCF(779,446) = HCF(4341,779) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9871 > 1, we apply the division lemma to 9871 and 1, to get
9871 = 1 x 9871 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9871 is 1
Notice that 1 = HCF(9871,1) .
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Frequently Asked Questions on HCF of 779, 4341, 9871 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 779, 4341, 9871?
Answer: HCF of 779, 4341, 9871 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 779, 4341, 9871 using Euclid's Algorithm?
Answer: For arbitrary numbers 779, 4341, 9871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.