Highest Common Factor of 9995, 8804 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 9995, 8804 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9995, 8804 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 9995, 8804 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 9995, 8804 is 1.
HCF(9995, 8804) = 1
HCF of 9995, 8804 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9995, 8804 is 1.
Highest Common Factor of 9995,8804 is 1
Step 1: Since 9995 > 8804, we apply the division lemma to 9995 and 8804, to get
9995 = 8804 x 1 + 1191
Step 2: Since the reminder 8804 ≠ 0, we apply division lemma to 1191 and 8804, to get
8804 = 1191 x 7 + 467
Step 3: We consider the new divisor 1191 and the new remainder 467, and apply the division lemma to get
1191 = 467 x 2 + 257
We consider the new divisor 467 and the new remainder 257,and apply the division lemma to get
467 = 257 x 1 + 210
We consider the new divisor 257 and the new remainder 210,and apply the division lemma to get
257 = 210 x 1 + 47
We consider the new divisor 210 and the new remainder 47,and apply the division lemma to get
210 = 47 x 4 + 22
We consider the new divisor 47 and the new remainder 22,and apply the division lemma to get
47 = 22 x 2 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 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 9995 and 8804 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(47,22) = HCF(210,47) = HCF(257,210) = HCF(467,257) = HCF(1191,467) = HCF(8804,1191) = HCF(9995,8804) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9995, 8804 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 9995, 8804?
Answer: HCF of 9995, 8804 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9995, 8804 using Euclid's Algorithm?
Answer: For arbitrary numbers 9995, 8804 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.