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 4335, 7639, 63402 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4335, 7639, 63402 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 4335, 7639, 63402 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 4335, 7639, 63402 is 1.
HCF(4335, 7639, 63402) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4335, 7639, 63402 is 1.
Step 1: Since 7639 > 4335, we apply the division lemma to 7639 and 4335, to get
7639 = 4335 x 1 + 3304
Step 2: Since the reminder 4335 ≠ 0, we apply division lemma to 3304 and 4335, to get
4335 = 3304 x 1 + 1031
Step 3: We consider the new divisor 3304 and the new remainder 1031, and apply the division lemma to get
3304 = 1031 x 3 + 211
We consider the new divisor 1031 and the new remainder 211,and apply the division lemma to get
1031 = 211 x 4 + 187
We consider the new divisor 211 and the new remainder 187,and apply the division lemma to get
211 = 187 x 1 + 24
We consider the new divisor 187 and the new remainder 24,and apply the division lemma to get
187 = 24 x 7 + 19
We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get
24 = 19 x 1 + 5
We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get
19 = 5 x 3 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4335 and 7639 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(187,24) = HCF(211,187) = HCF(1031,211) = HCF(3304,1031) = HCF(4335,3304) = HCF(7639,4335) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 63402 > 1, we apply the division lemma to 63402 and 1, to get
63402 = 1 x 63402 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63402 is 1
Notice that 1 = HCF(63402,1) .
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 4335, 7639, 63402?
Answer: HCF of 4335, 7639, 63402 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4335, 7639, 63402 using Euclid's Algorithm?
Answer: For arbitrary numbers 4335, 7639, 63402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.