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 4497, 5953, 45352 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4497, 5953, 45352 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 4497, 5953, 45352 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 4497, 5953, 45352 is 1.
HCF(4497, 5953, 45352) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4497, 5953, 45352 is 1.
Step 1: Since 5953 > 4497, we apply the division lemma to 5953 and 4497, to get
5953 = 4497 x 1 + 1456
Step 2: Since the reminder 4497 ≠ 0, we apply division lemma to 1456 and 4497, to get
4497 = 1456 x 3 + 129
Step 3: We consider the new divisor 1456 and the new remainder 129, and apply the division lemma to get
1456 = 129 x 11 + 37
We consider the new divisor 129 and the new remainder 37,and apply the division lemma to get
129 = 37 x 3 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4497 and 5953 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(129,37) = HCF(1456,129) = HCF(4497,1456) = HCF(5953,4497) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 45352 > 1, we apply the division lemma to 45352 and 1, to get
45352 = 1 x 45352 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45352 is 1
Notice that 1 = HCF(45352,1) .
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 4497, 5953, 45352?
Answer: HCF of 4497, 5953, 45352 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4497, 5953, 45352 using Euclid's Algorithm?
Answer: For arbitrary numbers 4497, 5953, 45352 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.