Highest Common Factor of 4080, 8262 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 4080, 8262 i.e. 102 the largest integer that leaves a remainder zero for all numbers.
HCF of 4080, 8262 is 102 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 4080, 8262 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 4080, 8262 is 102.
HCF(4080, 8262) = 102
HCF of 4080, 8262 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4080, 8262 is 102.
Highest Common Factor of 4080,8262 is 102
Step 1: Since 8262 > 4080, we apply the division lemma to 8262 and 4080, to get
8262 = 4080 x 2 + 102
Step 2: Since the reminder 4080 ≠ 0, we apply division lemma to 102 and 4080, to get
4080 = 102 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 102, the HCF of 4080 and 8262 is 102
Notice that 102 = HCF(4080,102) = HCF(8262,4080) .
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Frequently Asked Questions on HCF of 4080, 8262 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 4080, 8262?
Answer: HCF of 4080, 8262 is 102 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4080, 8262 using Euclid's Algorithm?
Answer: For arbitrary numbers 4080, 8262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.