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 4357, 5330, 62237 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4357, 5330, 62237 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 4357, 5330, 62237 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 4357, 5330, 62237 is 1.
HCF(4357, 5330, 62237) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4357, 5330, 62237 is 1.
Step 1: Since 5330 > 4357, we apply the division lemma to 5330 and 4357, to get
5330 = 4357 x 1 + 973
Step 2: Since the reminder 4357 ≠ 0, we apply division lemma to 973 and 4357, to get
4357 = 973 x 4 + 465
Step 3: We consider the new divisor 973 and the new remainder 465, and apply the division lemma to get
973 = 465 x 2 + 43
We consider the new divisor 465 and the new remainder 43,and apply the division lemma to get
465 = 43 x 10 + 35
We consider the new divisor 43 and the new remainder 35,and apply the division lemma to get
43 = 35 x 1 + 8
We consider the new divisor 35 and the new remainder 8,and apply the division lemma to get
35 = 8 x 4 + 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 4357 and 5330 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(35,8) = HCF(43,35) = HCF(465,43) = HCF(973,465) = HCF(4357,973) = HCF(5330,4357) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62237 > 1, we apply the division lemma to 62237 and 1, to get
62237 = 1 x 62237 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62237 is 1
Notice that 1 = HCF(62237,1) .
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 4357, 5330, 62237?
Answer: HCF of 4357, 5330, 62237 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4357, 5330, 62237 using Euclid's Algorithm?
Answer: For arbitrary numbers 4357, 5330, 62237 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.