Highest Common Factor of 801, 9317, 4949 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 801, 9317, 4949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 801, 9317, 4949 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 801, 9317, 4949 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 801, 9317, 4949 is 1.
HCF(801, 9317, 4949) = 1
HCF of 801, 9317, 4949 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 801, 9317, 4949 is 1.
Highest Common Factor of 801,9317,4949 is 1
Step 1: Since 9317 > 801, we apply the division lemma to 9317 and 801, to get
9317 = 801 x 11 + 506
Step 2: Since the reminder 801 ≠ 0, we apply division lemma to 506 and 801, to get
801 = 506 x 1 + 295
Step 3: We consider the new divisor 506 and the new remainder 295, and apply the division lemma to get
506 = 295 x 1 + 211
We consider the new divisor 295 and the new remainder 211,and apply the division lemma to get
295 = 211 x 1 + 84
We consider the new divisor 211 and the new remainder 84,and apply the division lemma to get
211 = 84 x 2 + 43
We consider the new divisor 84 and the new remainder 43,and apply the division lemma to get
84 = 43 x 1 + 41
We consider the new divisor 43 and the new remainder 41,and apply the division lemma to get
43 = 41 x 1 + 2
We consider the new divisor 41 and the new remainder 2,and apply the division lemma to get
41 = 2 x 20 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 801 and 9317 is 1
Notice that 1 = HCF(2,1) = HCF(41,2) = HCF(43,41) = HCF(84,43) = HCF(211,84) = HCF(295,211) = HCF(506,295) = HCF(801,506) = HCF(9317,801) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4949 > 1, we apply the division lemma to 4949 and 1, to get
4949 = 1 x 4949 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4949 is 1
Notice that 1 = HCF(4949,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 801, 9317, 4949 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 801, 9317, 4949?
Answer: HCF of 801, 9317, 4949 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 801, 9317, 4949 using Euclid's Algorithm?
Answer: For arbitrary numbers 801, 9317, 4949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.