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 7013, 3800 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7013, 3800 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 7013, 3800 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 7013, 3800 is 1.
HCF(7013, 3800) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7013, 3800 is 1.
Step 1: Since 7013 > 3800, we apply the division lemma to 7013 and 3800, to get
7013 = 3800 x 1 + 3213
Step 2: Since the reminder 3800 ≠ 0, we apply division lemma to 3213 and 3800, to get
3800 = 3213 x 1 + 587
Step 3: We consider the new divisor 3213 and the new remainder 587, and apply the division lemma to get
3213 = 587 x 5 + 278
We consider the new divisor 587 and the new remainder 278,and apply the division lemma to get
587 = 278 x 2 + 31
We consider the new divisor 278 and the new remainder 31,and apply the division lemma to get
278 = 31 x 8 + 30
We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get
31 = 30 x 1 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7013 and 3800 is 1
Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(278,31) = HCF(587,278) = HCF(3213,587) = HCF(3800,3213) = HCF(7013,3800) .
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 7013, 3800?
Answer: HCF of 7013, 3800 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7013, 3800 using Euclid's Algorithm?
Answer: For arbitrary numbers 7013, 3800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.