Highest Common Factor of 6983, 1312 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 6983, 1312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6983, 1312 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 6983, 1312 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 6983, 1312 is 1.
HCF(6983, 1312) = 1
HCF of 6983, 1312 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6983, 1312 is 1.
Highest Common Factor of 6983,1312 is 1
Step 1: Since 6983 > 1312, we apply the division lemma to 6983 and 1312, to get
6983 = 1312 x 5 + 423
Step 2: Since the reminder 1312 ≠ 0, we apply division lemma to 423 and 1312, to get
1312 = 423 x 3 + 43
Step 3: We consider the new divisor 423 and the new remainder 43, and apply the division lemma to get
423 = 43 x 9 + 36
We consider the new divisor 43 and the new remainder 36,and apply the division lemma to get
43 = 36 x 1 + 7
We consider the new divisor 36 and the new remainder 7,and apply the division lemma to get
36 = 7 x 5 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6983 and 1312 is 1
Notice that 1 = HCF(7,1) = HCF(36,7) = HCF(43,36) = HCF(423,43) = HCF(1312,423) = HCF(6983,1312) .
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Frequently Asked Questions on HCF of 6983, 1312 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 6983, 1312?
Answer: HCF of 6983, 1312 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6983, 1312 using Euclid's Algorithm?
Answer: For arbitrary numbers 6983, 1312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.