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 427, 75280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 427, 75280 is 1 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 427, 75280 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 427, 75280 is 1.
HCF(427, 75280) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 427, 75280 is 1.
Step 1: Since 75280 > 427, we apply the division lemma to 75280 and 427, to get
75280 = 427 x 176 + 128
Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 128 and 427, to get
427 = 128 x 3 + 43
Step 3: We consider the new divisor 128 and the new remainder 43, and apply the division lemma to get
128 = 43 x 2 + 42
We consider the new divisor 43 and the new remainder 42,and apply the division lemma to get
43 = 42 x 1 + 1
We consider the new divisor 42 and the new remainder 1,and apply the division lemma to get
42 = 1 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 427 and 75280 is 1
Notice that 1 = HCF(42,1) = HCF(43,42) = HCF(128,43) = HCF(427,128) = HCF(75280,427) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 427, 75280?
Answer: HCF of 427, 75280 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 427, 75280 using Euclid's Algorithm?
Answer: For arbitrary numbers 427, 75280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.