Highest Common Factor of 7330, 5390 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 7330, 5390 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 7330, 5390 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 7330, 5390 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 7330, 5390 is 10.
HCF(7330, 5390) = 10
HCF of 7330, 5390 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7330, 5390 is 10.
Highest Common Factor of 7330,5390 is 10
Step 1: Since 7330 > 5390, we apply the division lemma to 7330 and 5390, to get
7330 = 5390 x 1 + 1940
Step 2: Since the reminder 5390 ≠ 0, we apply division lemma to 1940 and 5390, to get
5390 = 1940 x 2 + 1510
Step 3: We consider the new divisor 1940 and the new remainder 1510, and apply the division lemma to get
1940 = 1510 x 1 + 430
We consider the new divisor 1510 and the new remainder 430,and apply the division lemma to get
1510 = 430 x 3 + 220
We consider the new divisor 430 and the new remainder 220,and apply the division lemma to get
430 = 220 x 1 + 210
We consider the new divisor 220 and the new remainder 210,and apply the division lemma to get
220 = 210 x 1 + 10
We consider the new divisor 210 and the new remainder 10,and apply the division lemma to get
210 = 10 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 7330 and 5390 is 10
Notice that 10 = HCF(210,10) = HCF(220,210) = HCF(430,220) = HCF(1510,430) = HCF(1940,1510) = HCF(5390,1940) = HCF(7330,5390) .
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Frequently Asked Questions on HCF of 7330, 5390 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 7330, 5390?
Answer: HCF of 7330, 5390 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7330, 5390 using Euclid's Algorithm?
Answer: For arbitrary numbers 7330, 5390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.