Highest Common Factor of 6074, 7982 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 6074, 7982 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6074, 7982 is 2 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 6074, 7982 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 6074, 7982 is 2.
HCF(6074, 7982) = 2
HCF of 6074, 7982 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6074, 7982 is 2.
Highest Common Factor of 6074,7982 is 2
Step 1: Since 7982 > 6074, we apply the division lemma to 7982 and 6074, to get
7982 = 6074 x 1 + 1908
Step 2: Since the reminder 6074 ≠ 0, we apply division lemma to 1908 and 6074, to get
6074 = 1908 x 3 + 350
Step 3: We consider the new divisor 1908 and the new remainder 350, and apply the division lemma to get
1908 = 350 x 5 + 158
We consider the new divisor 350 and the new remainder 158,and apply the division lemma to get
350 = 158 x 2 + 34
We consider the new divisor 158 and the new remainder 34,and apply the division lemma to get
158 = 34 x 4 + 22
We consider the new divisor 34 and the new remainder 22,and apply the division lemma to get
34 = 22 x 1 + 12
We consider the new divisor 22 and the new remainder 12,and apply the division lemma to get
22 = 12 x 1 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6074 and 7982 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(22,12) = HCF(34,22) = HCF(158,34) = HCF(350,158) = HCF(1908,350) = HCF(6074,1908) = HCF(7982,6074) .
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Frequently Asked Questions on HCF of 6074, 7982 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 6074, 7982?
Answer: HCF of 6074, 7982 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6074, 7982 using Euclid's Algorithm?
Answer: For arbitrary numbers 6074, 7982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.