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 783, 72233 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 783, 72233 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 783, 72233 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 783, 72233 is 1.
HCF(783, 72233) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 783, 72233 is 1.
Step 1: Since 72233 > 783, we apply the division lemma to 72233 and 783, to get
72233 = 783 x 92 + 197
Step 2: Since the reminder 783 ≠ 0, we apply division lemma to 197 and 783, to get
783 = 197 x 3 + 192
Step 3: We consider the new divisor 197 and the new remainder 192, and apply the division lemma to get
197 = 192 x 1 + 5
We consider the new divisor 192 and the new remainder 5,and apply the division lemma to get
192 = 5 x 38 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 783 and 72233 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(192,5) = HCF(197,192) = HCF(783,197) = HCF(72233,783) .
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 783, 72233?
Answer: HCF of 783, 72233 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 783, 72233 using Euclid's Algorithm?
Answer: For arbitrary numbers 783, 72233 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.