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 7347, 7904, 62775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7347, 7904, 62775 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 7347, 7904, 62775 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 7347, 7904, 62775 is 1.
HCF(7347, 7904, 62775) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7347, 7904, 62775 is 1.
Step 1: Since 7904 > 7347, we apply the division lemma to 7904 and 7347, to get
7904 = 7347 x 1 + 557
Step 2: Since the reminder 7347 ≠ 0, we apply division lemma to 557 and 7347, to get
7347 = 557 x 13 + 106
Step 3: We consider the new divisor 557 and the new remainder 106, and apply the division lemma to get
557 = 106 x 5 + 27
We consider the new divisor 106 and the new remainder 27,and apply the division lemma to get
106 = 27 x 3 + 25
We consider the new divisor 27 and the new remainder 25,and apply the division lemma to get
27 = 25 x 1 + 2
We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get
25 = 2 x 12 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7347 and 7904 is 1
Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(27,25) = HCF(106,27) = HCF(557,106) = HCF(7347,557) = HCF(7904,7347) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62775 > 1, we apply the division lemma to 62775 and 1, to get
62775 = 1 x 62775 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62775 is 1
Notice that 1 = HCF(62775,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 7347, 7904, 62775?
Answer: HCF of 7347, 7904, 62775 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7347, 7904, 62775 using Euclid's Algorithm?
Answer: For arbitrary numbers 7347, 7904, 62775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.