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 911, 574 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 911, 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 911, 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 911, 574 is 1.
HCF(911, 574) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 911, 574 is 1.
Step 1: Since 911 > 574, we apply the division lemma to 911 and 574, to get
911 = 574 x 1 + 337
Step 2: Since the reminder 574 ≠ 0, we apply division lemma to 337 and 574, to get
574 = 337 x 1 + 237
Step 3: We consider the new divisor 337 and the new remainder 237, and apply the division lemma to get
337 = 237 x 1 + 100
We consider the new divisor 237 and the new remainder 100,and apply the division lemma to get
237 = 100 x 2 + 37
We consider the new divisor 100 and the new remainder 37,and apply the division lemma to get
100 = 37 x 2 + 26
We consider the new divisor 37 and the new remainder 26,and apply the division lemma to get
37 = 26 x 1 + 11
We consider the new divisor 26 and the new remainder 11,and apply the division lemma to get
26 = 11 x 2 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 911 and 574 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(26,11) = HCF(37,26) = HCF(100,37) = HCF(237,100) = HCF(337,237) = HCF(574,337) = HCF(911,574) .
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 911, 574?
Answer: HCF of 911, 574 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 911, 574 using Euclid's Algorithm?
Answer: For arbitrary numbers 911, 574 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.