Highest Common Factor of 5625, 7452 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 5625, 7452 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 5625, 7452 is 9 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 5625, 7452 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 5625, 7452 is 9.
HCF(5625, 7452) = 9
HCF of 5625, 7452 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5625, 7452 is 9.
Highest Common Factor of 5625,7452 is 9
Step 1: Since 7452 > 5625, we apply the division lemma to 7452 and 5625, to get
7452 = 5625 x 1 + 1827
Step 2: Since the reminder 5625 ≠ 0, we apply division lemma to 1827 and 5625, to get
5625 = 1827 x 3 + 144
Step 3: We consider the new divisor 1827 and the new remainder 144, and apply the division lemma to get
1827 = 144 x 12 + 99
We consider the new divisor 144 and the new remainder 99,and apply the division lemma to get
144 = 99 x 1 + 45
We consider the new divisor 99 and the new remainder 45,and apply the division lemma to get
99 = 45 x 2 + 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 5625 and 7452 is 9
Notice that 9 = HCF(45,9) = HCF(99,45) = HCF(144,99) = HCF(1827,144) = HCF(5625,1827) = HCF(7452,5625) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5625, 7452 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 5625, 7452?
Answer: HCF of 5625, 7452 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5625, 7452 using Euclid's Algorithm?
Answer: For arbitrary numbers 5625, 7452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.