Highest Common Factor of 5799, 6779 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 5799, 6779 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5799, 6779 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 5799, 6779 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 5799, 6779 is 1.
HCF(5799, 6779) = 1
HCF of 5799, 6779 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5799, 6779 is 1.
Highest Common Factor of 5799,6779 is 1
Step 1: Since 6779 > 5799, we apply the division lemma to 6779 and 5799, to get
6779 = 5799 x 1 + 980
Step 2: Since the reminder 5799 ≠ 0, we apply division lemma to 980 and 5799, to get
5799 = 980 x 5 + 899
Step 3: We consider the new divisor 980 and the new remainder 899, and apply the division lemma to get
980 = 899 x 1 + 81
We consider the new divisor 899 and the new remainder 81,and apply the division lemma to get
899 = 81 x 11 + 8
We consider the new divisor 81 and the new remainder 8,and apply the division lemma to get
81 = 8 x 10 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5799 and 6779 is 1
Notice that 1 = HCF(8,1) = HCF(81,8) = HCF(899,81) = HCF(980,899) = HCF(5799,980) = HCF(6779,5799) .
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Frequently Asked Questions on HCF of 5799, 6779 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 5799, 6779?
Answer: HCF of 5799, 6779 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5799, 6779 using Euclid's Algorithm?
Answer: For arbitrary numbers 5799, 6779 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
