Highest Common Factor of 1900, 1367 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 1900, 1367 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1900, 1367 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 1900, 1367 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 1900, 1367 is 1.
HCF(1900, 1367) = 1
HCF of 1900, 1367 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1900, 1367 is 1.
Highest Common Factor of 1900,1367 is 1
Step 1: Since 1900 > 1367, we apply the division lemma to 1900 and 1367, to get
1900 = 1367 x 1 + 533
Step 2: Since the reminder 1367 ≠ 0, we apply division lemma to 533 and 1367, to get
1367 = 533 x 2 + 301
Step 3: We consider the new divisor 533 and the new remainder 301, and apply the division lemma to get
533 = 301 x 1 + 232
We consider the new divisor 301 and the new remainder 232,and apply the division lemma to get
301 = 232 x 1 + 69
We consider the new divisor 232 and the new remainder 69,and apply the division lemma to get
232 = 69 x 3 + 25
We consider the new divisor 69 and the new remainder 25,and apply the division lemma to get
69 = 25 x 2 + 19
We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get
25 = 19 x 1 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1900 and 1367 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(69,25) = HCF(232,69) = HCF(301,232) = HCF(533,301) = HCF(1367,533) = HCF(1900,1367) .
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Frequently Asked Questions on HCF of 1900, 1367 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 1900, 1367?
Answer: HCF of 1900, 1367 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1900, 1367 using Euclid's Algorithm?
Answer: For arbitrary numbers 1900, 1367 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
