Highest Common Factor of 877, 574 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 877, 574 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 877, 574 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 877, 574 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 877, 574 is 1.
HCF(877, 574) = 1
HCF of 877, 574 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 877, 574 is 1.
Highest Common Factor of 877,574 is 1
Step 1: Since 877 > 574, we apply the division lemma to 877 and 574, to get
877 = 574 x 1 + 303
Step 2: Since the reminder 574 ≠ 0, we apply division lemma to 303 and 574, to get
574 = 303 x 1 + 271
Step 3: We consider the new divisor 303 and the new remainder 271, and apply the division lemma to get
303 = 271 x 1 + 32
We consider the new divisor 271 and the new remainder 32,and apply the division lemma to get
271 = 32 x 8 + 15
We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get
32 = 15 x 2 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 877 and 574 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(271,32) = HCF(303,271) = HCF(574,303) = HCF(877,574) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 877, 574 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 877, 574?
Answer: HCF of 877, 574 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 877, 574 using Euclid's Algorithm?
Answer: For arbitrary numbers 877, 574 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.