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 325, 9356, 1202 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 325, 9356, 1202 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 325, 9356, 1202 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 325, 9356, 1202 is 1.
HCF(325, 9356, 1202) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 325, 9356, 1202 is 1.
Step 1: Since 9356 > 325, we apply the division lemma to 9356 and 325, to get
9356 = 325 x 28 + 256
Step 2: Since the reminder 325 ≠ 0, we apply division lemma to 256 and 325, to get
325 = 256 x 1 + 69
Step 3: We consider the new divisor 256 and the new remainder 69, and apply the division lemma to get
256 = 69 x 3 + 49
We consider the new divisor 69 and the new remainder 49,and apply the division lemma to get
69 = 49 x 1 + 20
We consider the new divisor 49 and the new remainder 20,and apply the division lemma to get
49 = 20 x 2 + 9
We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get
20 = 9 x 2 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 325 and 9356 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(49,20) = HCF(69,49) = HCF(256,69) = HCF(325,256) = HCF(9356,325) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 1202 > 1, we apply the division lemma to 1202 and 1, to get
1202 = 1 x 1202 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 1202 is 1
Notice that 1 = HCF(1202,1) .
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 325, 9356, 1202?
Answer: HCF of 325, 9356, 1202 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 325, 9356, 1202 using Euclid's Algorithm?
Answer: For arbitrary numbers 325, 9356, 1202 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.