Highest Common Factor of 3718, 6578 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 3718, 6578 i.e. 286 the largest integer that leaves a remainder zero for all numbers.
HCF of 3718, 6578 is 286 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 3718, 6578 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 3718, 6578 is 286.
HCF(3718, 6578) = 286
HCF of 3718, 6578 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3718, 6578 is 286.
Highest Common Factor of 3718,6578 is 286
Step 1: Since 6578 > 3718, we apply the division lemma to 6578 and 3718, to get
6578 = 3718 x 1 + 2860
Step 2: Since the reminder 3718 ≠ 0, we apply division lemma to 2860 and 3718, to get
3718 = 2860 x 1 + 858
Step 3: We consider the new divisor 2860 and the new remainder 858, and apply the division lemma to get
2860 = 858 x 3 + 286
We consider the new divisor 858 and the new remainder 286, and apply the division lemma to get
858 = 286 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 286, the HCF of 3718 and 6578 is 286
Notice that 286 = HCF(858,286) = HCF(2860,858) = HCF(3718,2860) = HCF(6578,3718) .
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Frequently Asked Questions on HCF of 3718, 6578 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 3718, 6578?
Answer: HCF of 3718, 6578 is 286 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3718, 6578 using Euclid's Algorithm?
Answer: For arbitrary numbers 3718, 6578 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
