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 1862, 6982 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1862, 6982 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 1862, 6982 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 1862, 6982 is 2.
HCF(1862, 6982) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1862, 6982 is 2.
Step 1: Since 6982 > 1862, we apply the division lemma to 6982 and 1862, to get
6982 = 1862 x 3 + 1396
Step 2: Since the reminder 1862 ≠ 0, we apply division lemma to 1396 and 1862, to get
1862 = 1396 x 1 + 466
Step 3: We consider the new divisor 1396 and the new remainder 466, and apply the division lemma to get
1396 = 466 x 2 + 464
We consider the new divisor 466 and the new remainder 464,and apply the division lemma to get
466 = 464 x 1 + 2
We consider the new divisor 464 and the new remainder 2,and apply the division lemma to get
464 = 2 x 232 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1862 and 6982 is 2
Notice that 2 = HCF(464,2) = HCF(466,464) = HCF(1396,466) = HCF(1862,1396) = HCF(6982,1862) .
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 1862, 6982?
Answer: HCF of 1862, 6982 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1862, 6982 using Euclid's Algorithm?
Answer: For arbitrary numbers 1862, 6982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.