Highest Common Factor of 495, 440, 774 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 495, 440, 774 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 495, 440, 774 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 495, 440, 774 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 495, 440, 774 is 1.
HCF(495, 440, 774) = 1
HCF of 495, 440, 774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 495, 440, 774 is 1.
Highest Common Factor of 495,440,774 is 1
Step 1: Since 495 > 440, we apply the division lemma to 495 and 440, to get
495 = 440 x 1 + 55
Step 2: Since the reminder 440 ≠ 0, we apply division lemma to 55 and 440, to get
440 = 55 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 55, the HCF of 495 and 440 is 55
Notice that 55 = HCF(440,55) = HCF(495,440) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 774 > 55, we apply the division lemma to 774 and 55, to get
774 = 55 x 14 + 4
Step 2: Since the reminder 55 ≠ 0, we apply division lemma to 4 and 55, to get
55 = 4 x 13 + 3
Step 3: We consider the new divisor 4 and the new remainder 3, and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 55 and 774 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(55,4) = HCF(774,55) .
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Frequently Asked Questions on HCF of 495, 440, 774 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 495, 440, 774?
Answer: HCF of 495, 440, 774 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 495, 440, 774 using Euclid's Algorithm?
Answer: For arbitrary numbers 495, 440, 774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.