Highest Common Factor of 9774, 9433, 70241 using Euclid's algorithm
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 9774, 9433, 70241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9774, 9433, 70241 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 9774, 9433, 70241 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 9774, 9433, 70241 is 1.
HCF(9774, 9433, 70241) = 1
HCF of 9774, 9433, 70241 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9774, 9433, 70241 is 1.
Highest Common Factor of 9774,9433,70241 is 1
Step 1: Since 9774 > 9433, we apply the division lemma to 9774 and 9433, to get
9774 = 9433 x 1 + 341
Step 2: Since the reminder 9433 ≠ 0, we apply division lemma to 341 and 9433, to get
9433 = 341 x 27 + 226
Step 3: We consider the new divisor 341 and the new remainder 226, and apply the division lemma to get
341 = 226 x 1 + 115
We consider the new divisor 226 and the new remainder 115,and apply the division lemma to get
226 = 115 x 1 + 111
We consider the new divisor 115 and the new remainder 111,and apply the division lemma to get
115 = 111 x 1 + 4
We consider the new divisor 111 and the new remainder 4,and apply the division lemma to get
111 = 4 x 27 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9774 and 9433 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(111,4) = HCF(115,111) = HCF(226,115) = HCF(341,226) = HCF(9433,341) = HCF(9774,9433) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70241 > 1, we apply the division lemma to 70241 and 1, to get
70241 = 1 x 70241 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70241 is 1
Notice that 1 = HCF(70241,1) .
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Frequently Asked Questions on HCF of 9774, 9433, 70241 using Euclid's Algorithm
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 9774, 9433, 70241?
Answer: HCF of 9774, 9433, 70241 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9774, 9433, 70241 using Euclid's Algorithm?
Answer: For arbitrary numbers 9774, 9433, 70241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
