Highest Common Factor of 7278, 6432 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 7278, 6432 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7278, 6432 is 6 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 7278, 6432 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 7278, 6432 is 6.
HCF(7278, 6432) = 6
HCF of 7278, 6432 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7278, 6432 is 6.
Highest Common Factor of 7278,6432 is 6
Step 1: Since 7278 > 6432, we apply the division lemma to 7278 and 6432, to get
7278 = 6432 x 1 + 846
Step 2: Since the reminder 6432 ≠ 0, we apply division lemma to 846 and 6432, to get
6432 = 846 x 7 + 510
Step 3: We consider the new divisor 846 and the new remainder 510, and apply the division lemma to get
846 = 510 x 1 + 336
We consider the new divisor 510 and the new remainder 336,and apply the division lemma to get
510 = 336 x 1 + 174
We consider the new divisor 336 and the new remainder 174,and apply the division lemma to get
336 = 174 x 1 + 162
We consider the new divisor 174 and the new remainder 162,and apply the division lemma to get
174 = 162 x 1 + 12
We consider the new divisor 162 and the new remainder 12,and apply the division lemma to get
162 = 12 x 13 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7278 and 6432 is 6
Notice that 6 = HCF(12,6) = HCF(162,12) = HCF(174,162) = HCF(336,174) = HCF(510,336) = HCF(846,510) = HCF(6432,846) = HCF(7278,6432) .
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Frequently Asked Questions on HCF of 7278, 6432 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 7278, 6432?
Answer: HCF of 7278, 6432 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7278, 6432 using Euclid's Algorithm?
Answer: For arbitrary numbers 7278, 6432 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
