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 7950, 6875, 59522 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7950, 6875, 59522 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 7950, 6875, 59522 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 7950, 6875, 59522 is 1.
HCF(7950, 6875, 59522) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7950, 6875, 59522 is 1.
Step 1: Since 7950 > 6875, we apply the division lemma to 7950 and 6875, to get
7950 = 6875 x 1 + 1075
Step 2: Since the reminder 6875 ≠ 0, we apply division lemma to 1075 and 6875, to get
6875 = 1075 x 6 + 425
Step 3: We consider the new divisor 1075 and the new remainder 425, and apply the division lemma to get
1075 = 425 x 2 + 225
We consider the new divisor 425 and the new remainder 225,and apply the division lemma to get
425 = 225 x 1 + 200
We consider the new divisor 225 and the new remainder 200,and apply the division lemma to get
225 = 200 x 1 + 25
We consider the new divisor 200 and the new remainder 25,and apply the division lemma to get
200 = 25 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 25, the HCF of 7950 and 6875 is 25
Notice that 25 = HCF(200,25) = HCF(225,200) = HCF(425,225) = HCF(1075,425) = HCF(6875,1075) = HCF(7950,6875) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 59522 > 25, we apply the division lemma to 59522 and 25, to get
59522 = 25 x 2380 + 22
Step 2: Since the reminder 25 ≠ 0, we apply division lemma to 22 and 25, to get
25 = 22 x 1 + 3
Step 3: We consider the new divisor 22 and the new remainder 3, and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 25 and 59522 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(59522,25) .
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 7950, 6875, 59522?
Answer: HCF of 7950, 6875, 59522 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7950, 6875, 59522 using Euclid's Algorithm?
Answer: For arbitrary numbers 7950, 6875, 59522 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.