Highest Common Factor of 703, 6046 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 703, 6046 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 703, 6046 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 703, 6046 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 703, 6046 is 1.
HCF(703, 6046) = 1
HCF of 703, 6046 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 703, 6046 is 1.
Highest Common Factor of 703,6046 is 1
Step 1: Since 6046 > 703, we apply the division lemma to 6046 and 703, to get
6046 = 703 x 8 + 422
Step 2: Since the reminder 703 ≠ 0, we apply division lemma to 422 and 703, to get
703 = 422 x 1 + 281
Step 3: We consider the new divisor 422 and the new remainder 281, and apply the division lemma to get
422 = 281 x 1 + 141
We consider the new divisor 281 and the new remainder 141,and apply the division lemma to get
281 = 141 x 1 + 140
We consider the new divisor 141 and the new remainder 140,and apply the division lemma to get
141 = 140 x 1 + 1
We consider the new divisor 140 and the new remainder 1,and apply the division lemma to get
140 = 1 x 140 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 703 and 6046 is 1
Notice that 1 = HCF(140,1) = HCF(141,140) = HCF(281,141) = HCF(422,281) = HCF(703,422) = HCF(6046,703) .
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Frequently Asked Questions on HCF of 703, 6046 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 703, 6046?
Answer: HCF of 703, 6046 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 703, 6046 using Euclid's Algorithm?
Answer: For arbitrary numbers 703, 6046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.