Highest Common Factor of 799, 5113 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 799, 5113 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 799, 5113 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 799, 5113 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 799, 5113 is 1.
HCF(799, 5113) = 1
HCF of 799, 5113 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 799, 5113 is 1.
Highest Common Factor of 799,5113 is 1
Step 1: Since 5113 > 799, we apply the division lemma to 5113 and 799, to get
5113 = 799 x 6 + 319
Step 2: Since the reminder 799 ≠ 0, we apply division lemma to 319 and 799, to get
799 = 319 x 2 + 161
Step 3: We consider the new divisor 319 and the new remainder 161, and apply the division lemma to get
319 = 161 x 1 + 158
We consider the new divisor 161 and the new remainder 158,and apply the division lemma to get
161 = 158 x 1 + 3
We consider the new divisor 158 and the new remainder 3,and apply the division lemma to get
158 = 3 x 52 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
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 799 and 5113 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(158,3) = HCF(161,158) = HCF(319,161) = HCF(799,319) = HCF(5113,799) .
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Frequently Asked Questions on HCF of 799, 5113 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 799, 5113?
Answer: HCF of 799, 5113 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 799, 5113 using Euclid's Algorithm?
Answer: For arbitrary numbers 799, 5113 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.