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 974, 797, 829 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 974, 797, 829 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 974, 797, 829 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 974, 797, 829 is 1.
HCF(974, 797, 829) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 974, 797, 829 is 1.
Step 1: Since 974 > 797, we apply the division lemma to 974 and 797, to get
974 = 797 x 1 + 177
Step 2: Since the reminder 797 ≠ 0, we apply division lemma to 177 and 797, to get
797 = 177 x 4 + 89
Step 3: We consider the new divisor 177 and the new remainder 89, and apply the division lemma to get
177 = 89 x 1 + 88
We consider the new divisor 89 and the new remainder 88,and apply the division lemma to get
89 = 88 x 1 + 1
We consider the new divisor 88 and the new remainder 1,and apply the division lemma to get
88 = 1 x 88 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 974 and 797 is 1
Notice that 1 = HCF(88,1) = HCF(89,88) = HCF(177,89) = HCF(797,177) = HCF(974,797) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 829 > 1, we apply the division lemma to 829 and 1, to get
829 = 1 x 829 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 829 is 1
Notice that 1 = HCF(829,1) .
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 974, 797, 829?
Answer: HCF of 974, 797, 829 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 974, 797, 829 using Euclid's Algorithm?
Answer: For arbitrary numbers 974, 797, 829 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.