Highest Common Factor of 7470, 5530 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 7470, 5530 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 7470, 5530 is 10 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 7470, 5530 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 7470, 5530 is 10.
HCF(7470, 5530) = 10
HCF of 7470, 5530 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7470, 5530 is 10.
Highest Common Factor of 7470,5530 is 10
Step 1: Since 7470 > 5530, we apply the division lemma to 7470 and 5530, to get
7470 = 5530 x 1 + 1940
Step 2: Since the reminder 5530 ≠ 0, we apply division lemma to 1940 and 5530, to get
5530 = 1940 x 2 + 1650
Step 3: We consider the new divisor 1940 and the new remainder 1650, and apply the division lemma to get
1940 = 1650 x 1 + 290
We consider the new divisor 1650 and the new remainder 290,and apply the division lemma to get
1650 = 290 x 5 + 200
We consider the new divisor 290 and the new remainder 200,and apply the division lemma to get
290 = 200 x 1 + 90
We consider the new divisor 200 and the new remainder 90,and apply the division lemma to get
200 = 90 x 2 + 20
We consider the new divisor 90 and the new remainder 20,and apply the division lemma to get
90 = 20 x 4 + 10
We consider the new divisor 20 and the new remainder 10,and apply the division lemma to get
20 = 10 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 7470 and 5530 is 10
Notice that 10 = HCF(20,10) = HCF(90,20) = HCF(200,90) = HCF(290,200) = HCF(1650,290) = HCF(1940,1650) = HCF(5530,1940) = HCF(7470,5530) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7470, 5530 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 7470, 5530?
Answer: HCF of 7470, 5530 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7470, 5530 using Euclid's Algorithm?
Answer: For arbitrary numbers 7470, 5530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.