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 749, 20213 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 749, 20213 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 749, 20213 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 749, 20213 is 1.
HCF(749, 20213) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 749, 20213 is 1.
Step 1: Since 20213 > 749, we apply the division lemma to 20213 and 749, to get
20213 = 749 x 26 + 739
Step 2: Since the reminder 749 ≠ 0, we apply division lemma to 739 and 749, to get
749 = 739 x 1 + 10
Step 3: We consider the new divisor 739 and the new remainder 10, and apply the division lemma to get
739 = 10 x 73 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 749 and 20213 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(739,10) = HCF(749,739) = HCF(20213,749) .
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 749, 20213?
Answer: HCF of 749, 20213 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 749, 20213 using Euclid's Algorithm?
Answer: For arbitrary numbers 749, 20213 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.