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 731, 992, 851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 731, 992, 851 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 731, 992, 851 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 731, 992, 851 is 1.
HCF(731, 992, 851) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 731, 992, 851 is 1.
Step 1: Since 992 > 731, we apply the division lemma to 992 and 731, to get
992 = 731 x 1 + 261
Step 2: Since the reminder 731 ≠ 0, we apply division lemma to 261 and 731, to get
731 = 261 x 2 + 209
Step 3: We consider the new divisor 261 and the new remainder 209, and apply the division lemma to get
261 = 209 x 1 + 52
We consider the new divisor 209 and the new remainder 52,and apply the division lemma to get
209 = 52 x 4 + 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 731 and 992 is 1
Notice that 1 = HCF(52,1) = HCF(209,52) = HCF(261,209) = HCF(731,261) = HCF(992,731) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 851 > 1, we apply the division lemma to 851 and 1, to get
851 = 1 x 851 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 851 is 1
Notice that 1 = HCF(851,1) .
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 731, 992, 851?
Answer: HCF of 731, 992, 851 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 731, 992, 851 using Euclid's Algorithm?
Answer: For arbitrary numbers 731, 992, 851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.