Highest Common Factor of 319, 2311 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 319, 2311 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 319, 2311 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 319, 2311 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 319, 2311 is 1.
HCF(319, 2311) = 1
HCF of 319, 2311 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 319, 2311 is 1.
Highest Common Factor of 319,2311 is 1
Step 1: Since 2311 > 319, we apply the division lemma to 2311 and 319, to get
2311 = 319 x 7 + 78
Step 2: Since the reminder 319 ≠ 0, we apply division lemma to 78 and 319, to get
319 = 78 x 4 + 7
Step 3: We consider the new divisor 78 and the new remainder 7, and apply the division lemma to get
78 = 7 x 11 + 1
We consider the new divisor 7 and the new remainder 1, and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 319 and 2311 is 1
Notice that 1 = HCF(7,1) = HCF(78,7) = HCF(319,78) = HCF(2311,319) .
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Frequently Asked Questions on HCF of 319, 2311 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 319, 2311?
Answer: HCF of 319, 2311 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 319, 2311 using Euclid's Algorithm?
Answer: For arbitrary numbers 319, 2311 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.