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 9183, 7220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9183, 7220 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 9183, 7220 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 9183, 7220 is 1.
HCF(9183, 7220) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9183, 7220 is 1.
Step 1: Since 9183 > 7220, we apply the division lemma to 9183 and 7220, to get
9183 = 7220 x 1 + 1963
Step 2: Since the reminder 7220 ≠ 0, we apply division lemma to 1963 and 7220, to get
7220 = 1963 x 3 + 1331
Step 3: We consider the new divisor 1963 and the new remainder 1331, and apply the division lemma to get
1963 = 1331 x 1 + 632
We consider the new divisor 1331 and the new remainder 632,and apply the division lemma to get
1331 = 632 x 2 + 67
We consider the new divisor 632 and the new remainder 67,and apply the division lemma to get
632 = 67 x 9 + 29
We consider the new divisor 67 and the new remainder 29,and apply the division lemma to get
67 = 29 x 2 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9183 and 7220 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(67,29) = HCF(632,67) = HCF(1331,632) = HCF(1963,1331) = HCF(7220,1963) = HCF(9183,7220) .
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 9183, 7220?
Answer: HCF of 9183, 7220 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9183, 7220 using Euclid's Algorithm?
Answer: For arbitrary numbers 9183, 7220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.