Highest Common Factor of 705, 94213 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 705, 94213 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 705, 94213 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 705, 94213 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 705, 94213 is 1.
HCF(705, 94213) = 1
HCF of 705, 94213 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 705, 94213 is 1.
Highest Common Factor of 705,94213 is 1
Step 1: Since 94213 > 705, we apply the division lemma to 94213 and 705, to get
94213 = 705 x 133 + 448
Step 2: Since the reminder 705 ≠ 0, we apply division lemma to 448 and 705, to get
705 = 448 x 1 + 257
Step 3: We consider the new divisor 448 and the new remainder 257, and apply the division lemma to get
448 = 257 x 1 + 191
We consider the new divisor 257 and the new remainder 191,and apply the division lemma to get
257 = 191 x 1 + 66
We consider the new divisor 191 and the new remainder 66,and apply the division lemma to get
191 = 66 x 2 + 59
We consider the new divisor 66 and the new remainder 59,and apply the division lemma to get
66 = 59 x 1 + 7
We consider the new divisor 59 and the new remainder 7,and apply the division lemma to get
59 = 7 x 8 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 705 and 94213 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(59,7) = HCF(66,59) = HCF(191,66) = HCF(257,191) = HCF(448,257) = HCF(705,448) = HCF(94213,705) .
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Frequently Asked Questions on HCF of 705, 94213 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 705, 94213?
Answer: HCF of 705, 94213 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 705, 94213 using Euclid's Algorithm?
Answer: For arbitrary numbers 705, 94213 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.