Highest Common Factor of 2360, 6674 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 2360, 6674 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2360, 6674 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 2360, 6674 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 2360, 6674 is 2.
HCF(2360, 6674) = 2
HCF of 2360, 6674 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2360, 6674 is 2.
Highest Common Factor of 2360,6674 is 2
Step 1: Since 6674 > 2360, we apply the division lemma to 6674 and 2360, to get
6674 = 2360 x 2 + 1954
Step 2: Since the reminder 2360 ≠ 0, we apply division lemma to 1954 and 2360, to get
2360 = 1954 x 1 + 406
Step 3: We consider the new divisor 1954 and the new remainder 406, and apply the division lemma to get
1954 = 406 x 4 + 330
We consider the new divisor 406 and the new remainder 330,and apply the division lemma to get
406 = 330 x 1 + 76
We consider the new divisor 330 and the new remainder 76,and apply the division lemma to get
330 = 76 x 4 + 26
We consider the new divisor 76 and the new remainder 26,and apply the division lemma to get
76 = 26 x 2 + 24
We consider the new divisor 26 and the new remainder 24,and apply the division lemma to get
26 = 24 x 1 + 2
We consider the new divisor 24 and the new remainder 2,and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2360 and 6674 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(76,26) = HCF(330,76) = HCF(406,330) = HCF(1954,406) = HCF(2360,1954) = HCF(6674,2360) .
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Frequently Asked Questions on HCF of 2360, 6674 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 2360, 6674?
Answer: HCF of 2360, 6674 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2360, 6674 using Euclid's Algorithm?
Answer: For arbitrary numbers 2360, 6674 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.