Highest Common Factor of 7816, 6180 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 7816, 6180 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7816, 6180 is 4 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 7816, 6180 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 7816, 6180 is 4.
HCF(7816, 6180) = 4
HCF of 7816, 6180 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7816, 6180 is 4.
Highest Common Factor of 7816,6180 is 4
Step 1: Since 7816 > 6180, we apply the division lemma to 7816 and 6180, to get
7816 = 6180 x 1 + 1636
Step 2: Since the reminder 6180 ≠ 0, we apply division lemma to 1636 and 6180, to get
6180 = 1636 x 3 + 1272
Step 3: We consider the new divisor 1636 and the new remainder 1272, and apply the division lemma to get
1636 = 1272 x 1 + 364
We consider the new divisor 1272 and the new remainder 364,and apply the division lemma to get
1272 = 364 x 3 + 180
We consider the new divisor 364 and the new remainder 180,and apply the division lemma to get
364 = 180 x 2 + 4
We consider the new divisor 180 and the new remainder 4,and apply the division lemma to get
180 = 4 x 45 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7816 and 6180 is 4
Notice that 4 = HCF(180,4) = HCF(364,180) = HCF(1272,364) = HCF(1636,1272) = HCF(6180,1636) = HCF(7816,6180) .
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Frequently Asked Questions on HCF of 7816, 6180 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 7816, 6180?
Answer: HCF of 7816, 6180 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7816, 6180 using Euclid's Algorithm?
Answer: For arbitrary numbers 7816, 6180 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.