Highest Common Factor of 7284, 6358 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 7284, 6358 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7284, 6358 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 7284, 6358 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 7284, 6358 is 2.
HCF(7284, 6358) = 2
HCF of 7284, 6358 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7284, 6358 is 2.
Highest Common Factor of 7284,6358 is 2
Step 1: Since 7284 > 6358, we apply the division lemma to 7284 and 6358, to get
7284 = 6358 x 1 + 926
Step 2: Since the reminder 6358 ≠ 0, we apply division lemma to 926 and 6358, to get
6358 = 926 x 6 + 802
Step 3: We consider the new divisor 926 and the new remainder 802, and apply the division lemma to get
926 = 802 x 1 + 124
We consider the new divisor 802 and the new remainder 124,and apply the division lemma to get
802 = 124 x 6 + 58
We consider the new divisor 124 and the new remainder 58,and apply the division lemma to get
124 = 58 x 2 + 8
We consider the new divisor 58 and the new remainder 8,and apply the division lemma to get
58 = 8 x 7 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7284 and 6358 is 2
Notice that 2 = HCF(8,2) = HCF(58,8) = HCF(124,58) = HCF(802,124) = HCF(926,802) = HCF(6358,926) = HCF(7284,6358) .
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Frequently Asked Questions on HCF of 7284, 6358 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 7284, 6358?
Answer: HCF of 7284, 6358 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7284, 6358 using Euclid's Algorithm?
Answer: For arbitrary numbers 7284, 6358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.