Highest Common Factor of 799, 30771 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, 30771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 799, 30771 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, 30771 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, 30771 is 1.
HCF(799, 30771) = 1
HCF of 799, 30771 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, 30771 is 1.
Highest Common Factor of 799,30771 is 1
Step 1: Since 30771 > 799, we apply the division lemma to 30771 and 799, to get
30771 = 799 x 38 + 409
Step 2: Since the reminder 799 ≠ 0, we apply division lemma to 409 and 799, to get
799 = 409 x 1 + 390
Step 3: We consider the new divisor 409 and the new remainder 390, and apply the division lemma to get
409 = 390 x 1 + 19
We consider the new divisor 390 and the new remainder 19,and apply the division lemma to get
390 = 19 x 20 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 799 and 30771 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(390,19) = HCF(409,390) = HCF(799,409) = HCF(30771,799) .
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Frequently Asked Questions on HCF of 799, 30771 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, 30771?
Answer: HCF of 799, 30771 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 799, 30771 using Euclid's Algorithm?
Answer: For arbitrary numbers 799, 30771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.