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 873, 977, 283 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 873, 977, 283 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 873, 977, 283 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 873, 977, 283 is 1.
HCF(873, 977, 283) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 873, 977, 283 is 1.
Step 1: Since 977 > 873, we apply the division lemma to 977 and 873, to get
977 = 873 x 1 + 104
Step 2: Since the reminder 873 ≠ 0, we apply division lemma to 104 and 873, to get
873 = 104 x 8 + 41
Step 3: We consider the new divisor 104 and the new remainder 41, and apply the division lemma to get
104 = 41 x 2 + 22
We consider the new divisor 41 and the new remainder 22,and apply the division lemma to get
41 = 22 x 1 + 19
We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get
22 = 19 x 1 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 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 873 and 977 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(41,22) = HCF(104,41) = HCF(873,104) = HCF(977,873) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 283 > 1, we apply the division lemma to 283 and 1, to get
283 = 1 x 283 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 283 is 1
Notice that 1 = HCF(283,1) .
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 873, 977, 283?
Answer: HCF of 873, 977, 283 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 873, 977, 283 using Euclid's Algorithm?
Answer: For arbitrary numbers 873, 977, 283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.