Highest Common Factor of 308, 42262 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 308, 42262 i.e. 22 the largest integer that leaves a remainder zero for all numbers.
HCF of 308, 42262 is 22 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 308, 42262 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 308, 42262 is 22.
HCF(308, 42262) = 22
HCF of 308, 42262 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 308, 42262 is 22.
Highest Common Factor of 308,42262 is 22
Step 1: Since 42262 > 308, we apply the division lemma to 42262 and 308, to get
42262 = 308 x 137 + 66
Step 2: Since the reminder 308 ≠ 0, we apply division lemma to 66 and 308, to get
308 = 66 x 4 + 44
Step 3: We consider the new divisor 66 and the new remainder 44, and apply the division lemma to get
66 = 44 x 1 + 22
We consider the new divisor 44 and the new remainder 22, and apply the division lemma to get
44 = 22 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 22, the HCF of 308 and 42262 is 22
Notice that 22 = HCF(44,22) = HCF(66,44) = HCF(308,66) = HCF(42262,308) .
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Frequently Asked Questions on HCF of 308, 42262 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 308, 42262?
Answer: HCF of 308, 42262 is 22 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 308, 42262 using Euclid's Algorithm?
Answer: For arbitrary numbers 308, 42262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.