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, 853, 774 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 325, 853, 774 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, 853, 774 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, 853, 774 is 1.
HCF(325, 853, 774) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 325, 853, 774 is 1.
Step 1: Since 853 > 325, we apply the division lemma to 853 and 325, to get
853 = 325 x 2 + 203
Step 2: Since the reminder 325 ≠ 0, we apply division lemma to 203 and 325, to get
325 = 203 x 1 + 122
Step 3: We consider the new divisor 203 and the new remainder 122, and apply the division lemma to get
203 = 122 x 1 + 81
We consider the new divisor 122 and the new remainder 81,and apply the division lemma to get
122 = 81 x 1 + 41
We consider the new divisor 81 and the new remainder 41,and apply the division lemma to get
81 = 41 x 1 + 40
We consider the new divisor 41 and the new remainder 40,and apply the division lemma to get
41 = 40 x 1 + 1
We consider the new divisor 40 and the new remainder 1,and apply the division lemma to get
40 = 1 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 325 and 853 is 1
Notice that 1 = HCF(40,1) = HCF(41,40) = HCF(81,41) = HCF(122,81) = HCF(203,122) = HCF(325,203) = HCF(853,325) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 774 > 1, we apply the division lemma to 774 and 1, to get
774 = 1 x 774 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 774 is 1
Notice that 1 = HCF(774,1) .
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, 853, 774?
Answer: HCF of 325, 853, 774 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 325, 853, 774 using Euclid's Algorithm?
Answer: For arbitrary numbers 325, 853, 774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.