Highest Common Factor of 440, 37775 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 440, 37775 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 440, 37775 is 5 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 440, 37775 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 440, 37775 is 5.
HCF(440, 37775) = 5
HCF of 440, 37775 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 440, 37775 is 5.
Highest Common Factor of 440,37775 is 5
Step 1: Since 37775 > 440, we apply the division lemma to 37775 and 440, to get
37775 = 440 x 85 + 375
Step 2: Since the reminder 440 ≠ 0, we apply division lemma to 375 and 440, to get
440 = 375 x 1 + 65
Step 3: We consider the new divisor 375 and the new remainder 65, and apply the division lemma to get
375 = 65 x 5 + 50
We consider the new divisor 65 and the new remainder 50,and apply the division lemma to get
65 = 50 x 1 + 15
We consider the new divisor 50 and the new remainder 15,and apply the division lemma to get
50 = 15 x 3 + 5
We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get
15 = 5 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 440 and 37775 is 5
Notice that 5 = HCF(15,5) = HCF(50,15) = HCF(65,50) = HCF(375,65) = HCF(440,375) = HCF(37775,440) .
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Frequently Asked Questions on HCF of 440, 37775 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 440, 37775?
Answer: HCF of 440, 37775 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 440, 37775 using Euclid's Algorithm?
Answer: For arbitrary numbers 440, 37775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
