Highest Common Factor of 7178, 6020 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 7178, 6020 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7178, 6020 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 7178, 6020 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 7178, 6020 is 2.
HCF(7178, 6020) = 2
HCF of 7178, 6020 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7178, 6020 is 2.
Highest Common Factor of 7178,6020 is 2
Step 1: Since 7178 > 6020, we apply the division lemma to 7178 and 6020, to get
7178 = 6020 x 1 + 1158
Step 2: Since the reminder 6020 ≠ 0, we apply division lemma to 1158 and 6020, to get
6020 = 1158 x 5 + 230
Step 3: We consider the new divisor 1158 and the new remainder 230, and apply the division lemma to get
1158 = 230 x 5 + 8
We consider the new divisor 230 and the new remainder 8,and apply the division lemma to get
230 = 8 x 28 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7178 and 6020 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(230,8) = HCF(1158,230) = HCF(6020,1158) = HCF(7178,6020) .
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Frequently Asked Questions on HCF of 7178, 6020 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 7178, 6020?
Answer: HCF of 7178, 6020 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7178, 6020 using Euclid's Algorithm?
Answer: For arbitrary numbers 7178, 6020 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
