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 1018, 7932 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1018, 7932 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 1018, 7932 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 1018, 7932 is 2.
HCF(1018, 7932) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1018, 7932 is 2.
Step 1: Since 7932 > 1018, we apply the division lemma to 7932 and 1018, to get
7932 = 1018 x 7 + 806
Step 2: Since the reminder 1018 ≠ 0, we apply division lemma to 806 and 1018, to get
1018 = 806 x 1 + 212
Step 3: We consider the new divisor 806 and the new remainder 212, and apply the division lemma to get
806 = 212 x 3 + 170
We consider the new divisor 212 and the new remainder 170,and apply the division lemma to get
212 = 170 x 1 + 42
We consider the new divisor 170 and the new remainder 42,and apply the division lemma to get
170 = 42 x 4 + 2
We consider the new divisor 42 and the new remainder 2,and apply the division lemma to get
42 = 2 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1018 and 7932 is 2
Notice that 2 = HCF(42,2) = HCF(170,42) = HCF(212,170) = HCF(806,212) = HCF(1018,806) = HCF(7932,1018) .
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 1018, 7932?
Answer: HCF of 1018, 7932 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1018, 7932 using Euclid's Algorithm?
Answer: For arbitrary numbers 1018, 7932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.