Highest Common Factor of 9450, 7390 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 9450, 7390 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 9450, 7390 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 9450, 7390 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 9450, 7390 is 10.
HCF(9450, 7390) = 10
HCF of 9450, 7390 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9450, 7390 is 10.
Highest Common Factor of 9450,7390 is 10
Step 1: Since 9450 > 7390, we apply the division lemma to 9450 and 7390, to get
9450 = 7390 x 1 + 2060
Step 2: Since the reminder 7390 ≠ 0, we apply division lemma to 2060 and 7390, to get
7390 = 2060 x 3 + 1210
Step 3: We consider the new divisor 2060 and the new remainder 1210, and apply the division lemma to get
2060 = 1210 x 1 + 850
We consider the new divisor 1210 and the new remainder 850,and apply the division lemma to get
1210 = 850 x 1 + 360
We consider the new divisor 850 and the new remainder 360,and apply the division lemma to get
850 = 360 x 2 + 130
We consider the new divisor 360 and the new remainder 130,and apply the division lemma to get
360 = 130 x 2 + 100
We consider the new divisor 130 and the new remainder 100,and apply the division lemma to get
130 = 100 x 1 + 30
We consider the new divisor 100 and the new remainder 30,and apply the division lemma to get
100 = 30 x 3 + 10
We consider the new divisor 30 and the new remainder 10,and apply the division lemma to get
30 = 10 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 9450 and 7390 is 10
Notice that 10 = HCF(30,10) = HCF(100,30) = HCF(130,100) = HCF(360,130) = HCF(850,360) = HCF(1210,850) = HCF(2060,1210) = HCF(7390,2060) = HCF(9450,7390) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9450, 7390 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 9450, 7390?
Answer: HCF of 9450, 7390 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9450, 7390 using Euclid's Algorithm?
Answer: For arbitrary numbers 9450, 7390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
