Highest Common Factor of 675, 9918, 4739 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 675, 9918, 4739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 675, 9918, 4739 is 1 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 675, 9918, 4739 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 675, 9918, 4739 is 1.
HCF(675, 9918, 4739) = 1
HCF of 675, 9918, 4739 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 675, 9918, 4739 is 1.
Highest Common Factor of 675,9918,4739 is 1
Step 1: Since 9918 > 675, we apply the division lemma to 9918 and 675, to get
9918 = 675 x 14 + 468
Step 2: Since the reminder 675 ≠ 0, we apply division lemma to 468 and 675, to get
675 = 468 x 1 + 207
Step 3: We consider the new divisor 468 and the new remainder 207, and apply the division lemma to get
468 = 207 x 2 + 54
We consider the new divisor 207 and the new remainder 54,and apply the division lemma to get
207 = 54 x 3 + 45
We consider the new divisor 54 and the new remainder 45,and apply the division lemma to get
54 = 45 x 1 + 9
We consider the new divisor 45 and the new remainder 9,and apply the division lemma to get
45 = 9 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 675 and 9918 is 9
Notice that 9 = HCF(45,9) = HCF(54,45) = HCF(207,54) = HCF(468,207) = HCF(675,468) = HCF(9918,675) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4739 > 9, we apply the division lemma to 4739 and 9, to get
4739 = 9 x 526 + 5
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 5 and 9, to get
9 = 5 x 1 + 4
Step 3: We consider the new divisor 5 and the new remainder 4, and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1, and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 4739 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(4739,9) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 675, 9918, 4739 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 675, 9918, 4739?
Answer: HCF of 675, 9918, 4739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 675, 9918, 4739 using Euclid's Algorithm?
Answer: For arbitrary numbers 675, 9918, 4739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
