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 1936, 1290 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1936, 1290 is 2 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 1936, 1290 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 1936, 1290 is 2.
HCF(1936, 1290) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1936, 1290 is 2.
Step 1: Since 1936 > 1290, we apply the division lemma to 1936 and 1290, to get
1936 = 1290 x 1 + 646
Step 2: Since the reminder 1290 ≠ 0, we apply division lemma to 646 and 1290, to get
1290 = 646 x 1 + 644
Step 3: We consider the new divisor 646 and the new remainder 644, and apply the division lemma to get
646 = 644 x 1 + 2
We consider the new divisor 644 and the new remainder 2, and apply the division lemma to get
644 = 2 x 322 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1936 and 1290 is 2
Notice that 2 = HCF(644,2) = HCF(646,644) = HCF(1290,646) = HCF(1936,1290) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 1936, 1290?
Answer: HCF of 1936, 1290 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1936, 1290 using Euclid's Algorithm?
Answer: For arbitrary numbers 1936, 1290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.