Highest Common Factor of 1014, 6845 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 1014, 6845 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1014, 6845 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 1014, 6845 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 1014, 6845 is 1.
HCF(1014, 6845) = 1
HCF of 1014, 6845 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1014, 6845 is 1.
Highest Common Factor of 1014,6845 is 1
Step 1: Since 6845 > 1014, we apply the division lemma to 6845 and 1014, to get
6845 = 1014 x 6 + 761
Step 2: Since the reminder 1014 ≠ 0, we apply division lemma to 761 and 1014, to get
1014 = 761 x 1 + 253
Step 3: We consider the new divisor 761 and the new remainder 253, and apply the division lemma to get
761 = 253 x 3 + 2
We consider the new divisor 253 and the new remainder 2,and apply the division lemma to get
253 = 2 x 126 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1014 and 6845 is 1
Notice that 1 = HCF(2,1) = HCF(253,2) = HCF(761,253) = HCF(1014,761) = HCF(6845,1014) .
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Frequently Asked Questions on HCF of 1014, 6845 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 1014, 6845?
Answer: HCF of 1014, 6845 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1014, 6845 using Euclid's Algorithm?
Answer: For arbitrary numbers 1014, 6845 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.