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 2119, 9220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2119, 9220 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 2119, 9220 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 2119, 9220 is 1.
HCF(2119, 9220) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2119, 9220 is 1.
Step 1: Since 9220 > 2119, we apply the division lemma to 9220 and 2119, to get
9220 = 2119 x 4 + 744
Step 2: Since the reminder 2119 ≠ 0, we apply division lemma to 744 and 2119, to get
2119 = 744 x 2 + 631
Step 3: We consider the new divisor 744 and the new remainder 631, and apply the division lemma to get
744 = 631 x 1 + 113
We consider the new divisor 631 and the new remainder 113,and apply the division lemma to get
631 = 113 x 5 + 66
We consider the new divisor 113 and the new remainder 66,and apply the division lemma to get
113 = 66 x 1 + 47
We consider the new divisor 66 and the new remainder 47,and apply the division lemma to get
66 = 47 x 1 + 19
We consider the new divisor 47 and the new remainder 19,and apply the division lemma to get
47 = 19 x 2 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 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 2119 and 9220 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(47,19) = HCF(66,47) = HCF(113,66) = HCF(631,113) = HCF(744,631) = HCF(2119,744) = HCF(9220,2119) .
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 2119, 9220?
Answer: HCF of 2119, 9220 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2119, 9220 using Euclid's Algorithm?
Answer: For arbitrary numbers 2119, 9220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.