Highest Common Factor of 6804, 6313 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 6804, 6313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6804, 6313 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 6804, 6313 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 6804, 6313 is 1.
HCF(6804, 6313) = 1
HCF of 6804, 6313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6804, 6313 is 1.
Highest Common Factor of 6804,6313 is 1
Step 1: Since 6804 > 6313, we apply the division lemma to 6804 and 6313, to get
6804 = 6313 x 1 + 491
Step 2: Since the reminder 6313 ≠ 0, we apply division lemma to 491 and 6313, to get
6313 = 491 x 12 + 421
Step 3: We consider the new divisor 491 and the new remainder 421, and apply the division lemma to get
491 = 421 x 1 + 70
We consider the new divisor 421 and the new remainder 70,and apply the division lemma to get
421 = 70 x 6 + 1
We consider the new divisor 70 and the new remainder 1,and apply the division lemma to get
70 = 1 x 70 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6804 and 6313 is 1
Notice that 1 = HCF(70,1) = HCF(421,70) = HCF(491,421) = HCF(6313,491) = HCF(6804,6313) .
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Frequently Asked Questions on HCF of 6804, 6313 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 6804, 6313?
Answer: HCF of 6804, 6313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6804, 6313 using Euclid's Algorithm?
Answer: For arbitrary numbers 6804, 6313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
