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 574, 783 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 574, 783 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 574, 783 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 574, 783 is 1.
HCF(574, 783) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 574, 783 is 1.
Step 1: Since 783 > 574, we apply the division lemma to 783 and 574, to get
783 = 574 x 1 + 209
Step 2: Since the reminder 574 ≠ 0, we apply division lemma to 209 and 574, to get
574 = 209 x 2 + 156
Step 3: We consider the new divisor 209 and the new remainder 156, and apply the division lemma to get
209 = 156 x 1 + 53
We consider the new divisor 156 and the new remainder 53,and apply the division lemma to get
156 = 53 x 2 + 50
We consider the new divisor 53 and the new remainder 50,and apply the division lemma to get
53 = 50 x 1 + 3
We consider the new divisor 50 and the new remainder 3,and apply the division lemma to get
50 = 3 x 16 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 574 and 783 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(50,3) = HCF(53,50) = HCF(156,53) = HCF(209,156) = HCF(574,209) = HCF(783,574) .
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 574, 783?
Answer: HCF of 574, 783 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 574, 783 using Euclid's Algorithm?
Answer: For arbitrary numbers 574, 783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.