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 437, 75906 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 437, 75906 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 437, 75906 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 437, 75906 is 1.
HCF(437, 75906) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 437, 75906 is 1.
Step 1: Since 75906 > 437, we apply the division lemma to 75906 and 437, to get
75906 = 437 x 173 + 305
Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 305 and 437, to get
437 = 305 x 1 + 132
Step 3: We consider the new divisor 305 and the new remainder 132, and apply the division lemma to get
305 = 132 x 2 + 41
We consider the new divisor 132 and the new remainder 41,and apply the division lemma to get
132 = 41 x 3 + 9
We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get
41 = 9 x 4 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 437 and 75906 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(132,41) = HCF(305,132) = HCF(437,305) = HCF(75906,437) .
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 437, 75906?
Answer: HCF of 437, 75906 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 437, 75906 using Euclid's Algorithm?
Answer: For arbitrary numbers 437, 75906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.