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, 997, 985 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 574, 997, 985 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, 997, 985 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, 997, 985 is 1.
HCF(574, 997, 985) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 574, 997, 985 is 1.
Step 1: Since 997 > 574, we apply the division lemma to 997 and 574, to get
997 = 574 x 1 + 423
Step 2: Since the reminder 574 ≠ 0, we apply division lemma to 423 and 574, to get
574 = 423 x 1 + 151
Step 3: We consider the new divisor 423 and the new remainder 151, and apply the division lemma to get
423 = 151 x 2 + 121
We consider the new divisor 151 and the new remainder 121,and apply the division lemma to get
151 = 121 x 1 + 30
We consider the new divisor 121 and the new remainder 30,and apply the division lemma to get
121 = 30 x 4 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 574 and 997 is 1
Notice that 1 = HCF(30,1) = HCF(121,30) = HCF(151,121) = HCF(423,151) = HCF(574,423) = HCF(997,574) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 985 > 1, we apply the division lemma to 985 and 1, to get
985 = 1 x 985 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 985 is 1
Notice that 1 = HCF(985,1) .
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, 997, 985?
Answer: HCF of 574, 997, 985 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 574, 997, 985 using Euclid's Algorithm?
Answer: For arbitrary numbers 574, 997, 985 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.