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, 4259 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9995, 4259 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, 4259 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, 4259 is 1.
HCF(9995, 4259) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9995, 4259 is 1.
Step 1: Since 9995 > 4259, we apply the division lemma to 9995 and 4259, to get
9995 = 4259 x 2 + 1477
Step 2: Since the reminder 4259 ≠ 0, we apply division lemma to 1477 and 4259, to get
4259 = 1477 x 2 + 1305
Step 3: We consider the new divisor 1477 and the new remainder 1305, and apply the division lemma to get
1477 = 1305 x 1 + 172
We consider the new divisor 1305 and the new remainder 172,and apply the division lemma to get
1305 = 172 x 7 + 101
We consider the new divisor 172 and the new remainder 101,and apply the division lemma to get
172 = 101 x 1 + 71
We consider the new divisor 101 and the new remainder 71,and apply the division lemma to get
101 = 71 x 1 + 30
We consider the new divisor 71 and the new remainder 30,and apply the division lemma to get
71 = 30 x 2 + 11
We consider the new divisor 30 and the new remainder 11,and apply the division lemma to get
30 = 11 x 2 + 8
We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get
11 = 8 x 1 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 9995 and 4259 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(30,11) = HCF(71,30) = HCF(101,71) = HCF(172,101) = HCF(1305,172) = HCF(1477,1305) = HCF(4259,1477) = HCF(9995,4259) .
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 9995, 4259?
Answer: HCF of 9995, 4259 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9995, 4259 using Euclid's Algorithm?
Answer: For arbitrary numbers 9995, 4259 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.