Highest Common Factor of 7494, 6147 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 7494, 6147 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7494, 6147 is 3 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 7494, 6147 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 7494, 6147 is 3.
HCF(7494, 6147) = 3
HCF of 7494, 6147 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7494, 6147 is 3.
Highest Common Factor of 7494,6147 is 3
Step 1: Since 7494 > 6147, we apply the division lemma to 7494 and 6147, to get
7494 = 6147 x 1 + 1347
Step 2: Since the reminder 6147 ≠ 0, we apply division lemma to 1347 and 6147, to get
6147 = 1347 x 4 + 759
Step 3: We consider the new divisor 1347 and the new remainder 759, and apply the division lemma to get
1347 = 759 x 1 + 588
We consider the new divisor 759 and the new remainder 588,and apply the division lemma to get
759 = 588 x 1 + 171
We consider the new divisor 588 and the new remainder 171,and apply the division lemma to get
588 = 171 x 3 + 75
We consider the new divisor 171 and the new remainder 75,and apply the division lemma to get
171 = 75 x 2 + 21
We consider the new divisor 75 and the new remainder 21,and apply the division lemma to get
75 = 21 x 3 + 12
We consider the new divisor 21 and the new remainder 12,and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7494 and 6147 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(75,21) = HCF(171,75) = HCF(588,171) = HCF(759,588) = HCF(1347,759) = HCF(6147,1347) = HCF(7494,6147) .
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Frequently Asked Questions on HCF of 7494, 6147 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 7494, 6147?
Answer: HCF of 7494, 6147 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7494, 6147 using Euclid's Algorithm?
Answer: For arbitrary numbers 7494, 6147 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.