Highest Common Factor of 8360, 1330 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 8360, 1330 i.e. 190 the largest integer that leaves a remainder zero for all numbers.
HCF of 8360, 1330 is 190 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 8360, 1330 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 8360, 1330 is 190.
HCF(8360, 1330) = 190
HCF of 8360, 1330 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8360, 1330 is 190.
Highest Common Factor of 8360,1330 is 190
Step 1: Since 8360 > 1330, we apply the division lemma to 8360 and 1330, to get
8360 = 1330 x 6 + 380
Step 2: Since the reminder 1330 ≠ 0, we apply division lemma to 380 and 1330, to get
1330 = 380 x 3 + 190
Step 3: We consider the new divisor 380 and the new remainder 190, and apply the division lemma to get
380 = 190 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 190, the HCF of 8360 and 1330 is 190
Notice that 190 = HCF(380,190) = HCF(1330,380) = HCF(8360,1330) .
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Frequently Asked Questions on HCF of 8360, 1330 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 8360, 1330?
Answer: HCF of 8360, 1330 is 190 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8360, 1330 using Euclid's Algorithm?
Answer: For arbitrary numbers 8360, 1330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.