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 943, 681, 883 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 943, 681, 883 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 943, 681, 883 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 943, 681, 883 is 1.
HCF(943, 681, 883) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 943, 681, 883 is 1.
Step 1: Since 943 > 681, we apply the division lemma to 943 and 681, to get
943 = 681 x 1 + 262
Step 2: Since the reminder 681 ≠ 0, we apply division lemma to 262 and 681, to get
681 = 262 x 2 + 157
Step 3: We consider the new divisor 262 and the new remainder 157, and apply the division lemma to get
262 = 157 x 1 + 105
We consider the new divisor 157 and the new remainder 105,and apply the division lemma to get
157 = 105 x 1 + 52
We consider the new divisor 105 and the new remainder 52,and apply the division lemma to get
105 = 52 x 2 + 1
We consider the new divisor 52 and the new remainder 1,and apply the division lemma to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 943 and 681 is 1
Notice that 1 = HCF(52,1) = HCF(105,52) = HCF(157,105) = HCF(262,157) = HCF(681,262) = HCF(943,681) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 883 > 1, we apply the division lemma to 883 and 1, to get
883 = 1 x 883 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 883 is 1
Notice that 1 = HCF(883,1) .
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 943, 681, 883?
Answer: HCF of 943, 681, 883 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 943, 681, 883 using Euclid's Algorithm?
Answer: For arbitrary numbers 943, 681, 883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.