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 849, 673, 928, 344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 849, 673, 928, 344 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 849, 673, 928, 344 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 849, 673, 928, 344 is 1.
HCF(849, 673, 928, 344) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 849, 673, 928, 344 is 1.
Step 1: Since 849 > 673, we apply the division lemma to 849 and 673, to get
849 = 673 x 1 + 176
Step 2: Since the reminder 673 ≠ 0, we apply division lemma to 176 and 673, to get
673 = 176 x 3 + 145
Step 3: We consider the new divisor 176 and the new remainder 145, and apply the division lemma to get
176 = 145 x 1 + 31
We consider the new divisor 145 and the new remainder 31,and apply the division lemma to get
145 = 31 x 4 + 21
We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get
31 = 21 x 1 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 849 and 673 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(145,31) = HCF(176,145) = HCF(673,176) = HCF(849,673) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 928 > 1, we apply the division lemma to 928 and 1, to get
928 = 1 x 928 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 928 is 1
Notice that 1 = HCF(928,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 344 > 1, we apply the division lemma to 344 and 1, to get
344 = 1 x 344 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 344 is 1
Notice that 1 = HCF(344,1) .
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 849, 673, 928, 344?
Answer: HCF of 849, 673, 928, 344 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 849, 673, 928, 344 using Euclid's Algorithm?
Answer: For arbitrary numbers 849, 673, 928, 344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.