Highest Common Factor of 8320, 8438 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 8320, 8438 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8320, 8438 is 2 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 8320, 8438 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 8320, 8438 is 2.
HCF(8320, 8438) = 2
HCF of 8320, 8438 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8320, 8438 is 2.
Highest Common Factor of 8320,8438 is 2
Step 1: Since 8438 > 8320, we apply the division lemma to 8438 and 8320, to get
8438 = 8320 x 1 + 118
Step 2: Since the reminder 8320 ≠ 0, we apply division lemma to 118 and 8320, to get
8320 = 118 x 70 + 60
Step 3: We consider the new divisor 118 and the new remainder 60, and apply the division lemma to get
118 = 60 x 1 + 58
We consider the new divisor 60 and the new remainder 58,and apply the division lemma to get
60 = 58 x 1 + 2
We consider the new divisor 58 and the new remainder 2,and apply the division lemma to get
58 = 2 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8320 and 8438 is 2
Notice that 2 = HCF(58,2) = HCF(60,58) = HCF(118,60) = HCF(8320,118) = HCF(8438,8320) .
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Frequently Asked Questions on HCF of 8320, 8438 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 8320, 8438?
Answer: HCF of 8320, 8438 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8320, 8438 using Euclid's Algorithm?
Answer: For arbitrary numbers 8320, 8438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.