Highest Common Factor of 1890, 3091 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 1890, 3091 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1890, 3091 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 1890, 3091 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 1890, 3091 is 1.
HCF(1890, 3091) = 1
HCF of 1890, 3091 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1890, 3091 is 1.
Highest Common Factor of 1890,3091 is 1
Step 1: Since 3091 > 1890, we apply the division lemma to 3091 and 1890, to get
3091 = 1890 x 1 + 1201
Step 2: Since the reminder 1890 ≠ 0, we apply division lemma to 1201 and 1890, to get
1890 = 1201 x 1 + 689
Step 3: We consider the new divisor 1201 and the new remainder 689, and apply the division lemma to get
1201 = 689 x 1 + 512
We consider the new divisor 689 and the new remainder 512,and apply the division lemma to get
689 = 512 x 1 + 177
We consider the new divisor 512 and the new remainder 177,and apply the division lemma to get
512 = 177 x 2 + 158
We consider the new divisor 177 and the new remainder 158,and apply the division lemma to get
177 = 158 x 1 + 19
We consider the new divisor 158 and the new remainder 19,and apply the division lemma to get
158 = 19 x 8 + 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 1890 and 3091 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(158,19) = HCF(177,158) = HCF(512,177) = HCF(689,512) = HCF(1201,689) = HCF(1890,1201) = HCF(3091,1890) .
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Frequently Asked Questions on HCF of 1890, 3091 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 1890, 3091?
Answer: HCF of 1890, 3091 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1890, 3091 using Euclid's Algorithm?
Answer: For arbitrary numbers 1890, 3091 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
