Highest Common Factor of 779, 9803, 5968 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, 9803, 5968 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 779, 9803, 5968 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, 9803, 5968 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, 9803, 5968 is 1.
HCF(779, 9803, 5968) = 1
HCF of 779, 9803, 5968 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, 9803, 5968 is 1.
Highest Common Factor of 779,9803,5968 is 1
Step 1: Since 9803 > 779, we apply the division lemma to 9803 and 779, to get
9803 = 779 x 12 + 455
Step 2: Since the reminder 779 ≠ 0, we apply division lemma to 455 and 779, to get
779 = 455 x 1 + 324
Step 3: We consider the new divisor 455 and the new remainder 324, and apply the division lemma to get
455 = 324 x 1 + 131
We consider the new divisor 324 and the new remainder 131,and apply the division lemma to get
324 = 131 x 2 + 62
We consider the new divisor 131 and the new remainder 62,and apply the division lemma to get
131 = 62 x 2 + 7
We consider the new divisor 62 and the new remainder 7,and apply the division lemma to get
62 = 7 x 8 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 779 and 9803 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(62,7) = HCF(131,62) = HCF(324,131) = HCF(455,324) = HCF(779,455) = HCF(9803,779) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5968 > 1, we apply the division lemma to 5968 and 1, to get
5968 = 1 x 5968 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5968 is 1
Notice that 1 = HCF(5968,1) .
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Frequently Asked Questions on HCF of 779, 9803, 5968 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, 9803, 5968?
Answer: HCF of 779, 9803, 5968 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 779, 9803, 5968 using Euclid's Algorithm?
Answer: For arbitrary numbers 779, 9803, 5968 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.