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 5237, 7275, 54036 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5237, 7275, 54036 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 5237, 7275, 54036 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 5237, 7275, 54036 is 1.
HCF(5237, 7275, 54036) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5237, 7275, 54036 is 1.
Step 1: Since 7275 > 5237, we apply the division lemma to 7275 and 5237, to get
7275 = 5237 x 1 + 2038
Step 2: Since the reminder 5237 ≠ 0, we apply division lemma to 2038 and 5237, to get
5237 = 2038 x 2 + 1161
Step 3: We consider the new divisor 2038 and the new remainder 1161, and apply the division lemma to get
2038 = 1161 x 1 + 877
We consider the new divisor 1161 and the new remainder 877,and apply the division lemma to get
1161 = 877 x 1 + 284
We consider the new divisor 877 and the new remainder 284,and apply the division lemma to get
877 = 284 x 3 + 25
We consider the new divisor 284 and the new remainder 25,and apply the division lemma to get
284 = 25 x 11 + 9
We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get
25 = 9 x 2 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 5237 and 7275 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(284,25) = HCF(877,284) = HCF(1161,877) = HCF(2038,1161) = HCF(5237,2038) = HCF(7275,5237) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54036 > 1, we apply the division lemma to 54036 and 1, to get
54036 = 1 x 54036 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54036 is 1
Notice that 1 = HCF(54036,1) .
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 5237, 7275, 54036?
Answer: HCF of 5237, 7275, 54036 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5237, 7275, 54036 using Euclid's Algorithm?
Answer: For arbitrary numbers 5237, 7275, 54036 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.