Highest Common Factor of 1940, 1291 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 1940, 1291 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1940, 1291 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 1940, 1291 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 1940, 1291 is 1.
HCF(1940, 1291) = 1
HCF of 1940, 1291 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1940, 1291 is 1.
Highest Common Factor of 1940,1291 is 1
Step 1: Since 1940 > 1291, we apply the division lemma to 1940 and 1291, to get
1940 = 1291 x 1 + 649
Step 2: Since the reminder 1291 ≠ 0, we apply division lemma to 649 and 1291, to get
1291 = 649 x 1 + 642
Step 3: We consider the new divisor 649 and the new remainder 642, and apply the division lemma to get
649 = 642 x 1 + 7
We consider the new divisor 642 and the new remainder 7,and apply the division lemma to get
642 = 7 x 91 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1940 and 1291 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(642,7) = HCF(649,642) = HCF(1291,649) = HCF(1940,1291) .
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Frequently Asked Questions on HCF of 1940, 1291 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 1940, 1291?
Answer: HCF of 1940, 1291 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1940, 1291 using Euclid's Algorithm?
Answer: For arbitrary numbers 1940, 1291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.