Highest Common Factor of 644, 350, 99, 586 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 644, 350, 99, 586 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 644, 350, 99, 586 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 644, 350, 99, 586 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 644, 350, 99, 586 is 1.
HCF(644, 350, 99, 586) = 1
HCF of 644, 350, 99, 586 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 644, 350, 99, 586 is 1.
Highest Common Factor of 644,350,99,586 is 1
Step 1: Since 644 > 350, we apply the division lemma to 644 and 350, to get
644 = 350 x 1 + 294
Step 2: Since the reminder 350 ≠ 0, we apply division lemma to 294 and 350, to get
350 = 294 x 1 + 56
Step 3: We consider the new divisor 294 and the new remainder 56, and apply the division lemma to get
294 = 56 x 5 + 14
We consider the new divisor 56 and the new remainder 14, and apply the division lemma to get
56 = 14 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 644 and 350 is 14
Notice that 14 = HCF(56,14) = HCF(294,56) = HCF(350,294) = HCF(644,350) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 99 > 14, we apply the division lemma to 99 and 14, to get
99 = 14 x 7 + 1
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 1 and 14, to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 14 and 99 is 1
Notice that 1 = HCF(14,1) = HCF(99,14) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 586 > 1, we apply the division lemma to 586 and 1, to get
586 = 1 x 586 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 586 is 1
Notice that 1 = HCF(586,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 644, 350, 99, 586 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 644, 350, 99, 586?
Answer: HCF of 644, 350, 99, 586 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 644, 350, 99, 586 using Euclid's Algorithm?
Answer: For arbitrary numbers 644, 350, 99, 586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.