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 1013, 6008 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1013, 6008 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 1013, 6008 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 1013, 6008 is 1.
HCF(1013, 6008) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1013, 6008 is 1.
Step 1: Since 6008 > 1013, we apply the division lemma to 6008 and 1013, to get
6008 = 1013 x 5 + 943
Step 2: Since the reminder 1013 ≠ 0, we apply division lemma to 943 and 1013, to get
1013 = 943 x 1 + 70
Step 3: We consider the new divisor 943 and the new remainder 70, and apply the division lemma to get
943 = 70 x 13 + 33
We consider the new divisor 70 and the new remainder 33,and apply the division lemma to get
70 = 33 x 2 + 4
We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get
33 = 4 x 8 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1013 and 6008 is 1
Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(70,33) = HCF(943,70) = HCF(1013,943) = HCF(6008,1013) .
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 1013, 6008?
Answer: HCF of 1013, 6008 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1013, 6008 using Euclid's Algorithm?
Answer: For arbitrary numbers 1013, 6008 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.