Highest Common Factor of 1915, 399 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 1915, 399 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1915, 399 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 1915, 399 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 1915, 399 is 1.
HCF(1915, 399) = 1
HCF of 1915, 399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1915, 399 is 1.
Highest Common Factor of 1915,399 is 1
Step 1: Since 1915 > 399, we apply the division lemma to 1915 and 399, to get
1915 = 399 x 4 + 319
Step 2: Since the reminder 399 ≠ 0, we apply division lemma to 319 and 399, to get
399 = 319 x 1 + 80
Step 3: We consider the new divisor 319 and the new remainder 80, and apply the division lemma to get
319 = 80 x 3 + 79
We consider the new divisor 80 and the new remainder 79,and apply the division lemma to get
80 = 79 x 1 + 1
We consider the new divisor 79 and the new remainder 1,and apply the division lemma to get
79 = 1 x 79 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1915 and 399 is 1
Notice that 1 = HCF(79,1) = HCF(80,79) = HCF(319,80) = HCF(399,319) = HCF(1915,399) .
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Frequently Asked Questions on HCF of 1915, 399 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 1915, 399?
Answer: HCF of 1915, 399 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1915, 399 using Euclid's Algorithm?
Answer: For arbitrary numbers 1915, 399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.