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 7522, 1973, 89664 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7522, 1973, 89664 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 7522, 1973, 89664 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 7522, 1973, 89664 is 1.
HCF(7522, 1973, 89664) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7522, 1973, 89664 is 1.
Step 1: Since 7522 > 1973, we apply the division lemma to 7522 and 1973, to get
7522 = 1973 x 3 + 1603
Step 2: Since the reminder 1973 ≠ 0, we apply division lemma to 1603 and 1973, to get
1973 = 1603 x 1 + 370
Step 3: We consider the new divisor 1603 and the new remainder 370, and apply the division lemma to get
1603 = 370 x 4 + 123
We consider the new divisor 370 and the new remainder 123,and apply the division lemma to get
370 = 123 x 3 + 1
We consider the new divisor 123 and the new remainder 1,and apply the division lemma to get
123 = 1 x 123 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7522 and 1973 is 1
Notice that 1 = HCF(123,1) = HCF(370,123) = HCF(1603,370) = HCF(1973,1603) = HCF(7522,1973) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 89664 > 1, we apply the division lemma to 89664 and 1, to get
89664 = 1 x 89664 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89664 is 1
Notice that 1 = HCF(89664,1) .
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 7522, 1973, 89664?
Answer: HCF of 7522, 1973, 89664 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7522, 1973, 89664 using Euclid's Algorithm?
Answer: For arbitrary numbers 7522, 1973, 89664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.