Highest Common Factor of 416, 797 using Euclid's algorithm
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 416, 797 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 416, 797 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 416, 797 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 416, 797 is 1.
HCF(416, 797) = 1
HCF of 416, 797 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 416, 797 is 1.
Highest Common Factor of 416,797 is 1
Step 1: Since 797 > 416, we apply the division lemma to 797 and 416, to get
797 = 416 x 1 + 381
Step 2: Since the reminder 416 ≠ 0, we apply division lemma to 381 and 416, to get
416 = 381 x 1 + 35
Step 3: We consider the new divisor 381 and the new remainder 35, and apply the division lemma to get
381 = 35 x 10 + 31
We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get
35 = 31 x 1 + 4
We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get
31 = 4 x 7 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 416 and 797 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(381,35) = HCF(416,381) = HCF(797,416) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 416, 797 using Euclid's Algorithm
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 416, 797?
Answer: HCF of 416, 797 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 416, 797 using Euclid's Algorithm?
Answer: For arbitrary numbers 416, 797 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.