Highest Common Factor of 7638, 4479 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 7638, 4479 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7638, 4479 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 7638, 4479 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 7638, 4479 is 3.
HCF(7638, 4479) = 3
HCF of 7638, 4479 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7638, 4479 is 3.
Highest Common Factor of 7638,4479 is 3
Step 1: Since 7638 > 4479, we apply the division lemma to 7638 and 4479, to get
7638 = 4479 x 1 + 3159
Step 2: Since the reminder 4479 ≠ 0, we apply division lemma to 3159 and 4479, to get
4479 = 3159 x 1 + 1320
Step 3: We consider the new divisor 3159 and the new remainder 1320, and apply the division lemma to get
3159 = 1320 x 2 + 519
We consider the new divisor 1320 and the new remainder 519,and apply the division lemma to get
1320 = 519 x 2 + 282
We consider the new divisor 519 and the new remainder 282,and apply the division lemma to get
519 = 282 x 1 + 237
We consider the new divisor 282 and the new remainder 237,and apply the division lemma to get
282 = 237 x 1 + 45
We consider the new divisor 237 and the new remainder 45,and apply the division lemma to get
237 = 45 x 5 + 12
We consider the new divisor 45 and the new remainder 12,and apply the division lemma to get
45 = 12 x 3 + 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 7638 and 4479 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(45,12) = HCF(237,45) = HCF(282,237) = HCF(519,282) = HCF(1320,519) = HCF(3159,1320) = HCF(4479,3159) = HCF(7638,4479) .
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Frequently Asked Questions on HCF of 7638, 4479 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 7638, 4479?
Answer: HCF of 7638, 4479 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7638, 4479 using Euclid's Algorithm?
Answer: For arbitrary numbers 7638, 4479 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.