Highest Common Factor of 955, 573 using Euclid's algorithm
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 955, 573 i.e. 191 the largest integer that leaves a remainder zero for all numbers.
HCF of 955, 573 is 191 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 955, 573 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 955, 573 is 191.
HCF(955, 573) = 191
HCF of 955, 573 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 955, 573 is 191.
Highest Common Factor of 955,573 is 191
Step 1: Since 955 > 573, we apply the division lemma to 955 and 573, to get
955 = 573 x 1 + 382
Step 2: Since the reminder 573 ≠ 0, we apply division lemma to 382 and 573, to get
573 = 382 x 1 + 191
Step 3: We consider the new divisor 382 and the new remainder 191, and apply the division lemma to get
382 = 191 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 191, the HCF of 955 and 573 is 191
Notice that 191 = HCF(382,191) = HCF(573,382) = HCF(955,573) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 955, 573 using Euclid's Algorithm
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 955, 573?
Answer: HCF of 955, 573 is 191 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 955, 573 using Euclid's Algorithm?
Answer: For arbitrary numbers 955, 573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.