Highest Common Factor of 8929, 4894, 70328 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 8929, 4894, 70328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8929, 4894, 70328 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 8929, 4894, 70328 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 8929, 4894, 70328 is 1.
HCF(8929, 4894, 70328) = 1
HCF of 8929, 4894, 70328 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8929, 4894, 70328 is 1.
Highest Common Factor of 8929,4894,70328 is 1
Step 1: Since 8929 > 4894, we apply the division lemma to 8929 and 4894, to get
8929 = 4894 x 1 + 4035
Step 2: Since the reminder 4894 ≠ 0, we apply division lemma to 4035 and 4894, to get
4894 = 4035 x 1 + 859
Step 3: We consider the new divisor 4035 and the new remainder 859, and apply the division lemma to get
4035 = 859 x 4 + 599
We consider the new divisor 859 and the new remainder 599,and apply the division lemma to get
859 = 599 x 1 + 260
We consider the new divisor 599 and the new remainder 260,and apply the division lemma to get
599 = 260 x 2 + 79
We consider the new divisor 260 and the new remainder 79,and apply the division lemma to get
260 = 79 x 3 + 23
We consider the new divisor 79 and the new remainder 23,and apply the division lemma to get
79 = 23 x 3 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 8929 and 4894 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(79,23) = HCF(260,79) = HCF(599,260) = HCF(859,599) = HCF(4035,859) = HCF(4894,4035) = HCF(8929,4894) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70328 > 1, we apply the division lemma to 70328 and 1, to get
70328 = 1 x 70328 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70328 is 1
Notice that 1 = HCF(70328,1) .
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Frequently Asked Questions on HCF of 8929, 4894, 70328 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 8929, 4894, 70328?
Answer: HCF of 8929, 4894, 70328 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8929, 4894, 70328 using Euclid's Algorithm?
Answer: For arbitrary numbers 8929, 4894, 70328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.