Highest Common Factor of 7279, 1820 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 7279, 1820 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7279, 1820 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 7279, 1820 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 7279, 1820 is 1.
HCF(7279, 1820) = 1
HCF of 7279, 1820 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7279, 1820 is 1.
Highest Common Factor of 7279,1820 is 1
Step 1: Since 7279 > 1820, we apply the division lemma to 7279 and 1820, to get
7279 = 1820 x 3 + 1819
Step 2: Since the reminder 1820 ≠ 0, we apply division lemma to 1819 and 1820, to get
1820 = 1819 x 1 + 1
Step 3: We consider the new divisor 1819 and the new remainder 1, and apply the division lemma to get
1819 = 1 x 1819 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7279 and 1820 is 1
Notice that 1 = HCF(1819,1) = HCF(1820,1819) = HCF(7279,1820) .
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Frequently Asked Questions on HCF of 7279, 1820 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 7279, 1820?
Answer: HCF of 7279, 1820 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7279, 1820 using Euclid's Algorithm?
Answer: For arbitrary numbers 7279, 1820 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.