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 782, 276, 495 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 782, 276, 495 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 782, 276, 495 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 782, 276, 495 is 1.
HCF(782, 276, 495) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 782, 276, 495 is 1.
Step 1: Since 782 > 276, we apply the division lemma to 782 and 276, to get
782 = 276 x 2 + 230
Step 2: Since the reminder 276 ≠ 0, we apply division lemma to 230 and 276, to get
276 = 230 x 1 + 46
Step 3: We consider the new divisor 230 and the new remainder 46, and apply the division lemma to get
230 = 46 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 46, the HCF of 782 and 276 is 46
Notice that 46 = HCF(230,46) = HCF(276,230) = HCF(782,276) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 495 > 46, we apply the division lemma to 495 and 46, to get
495 = 46 x 10 + 35
Step 2: Since the reminder 46 ≠ 0, we apply division lemma to 35 and 46, to get
46 = 35 x 1 + 11
Step 3: We consider the new divisor 35 and the new remainder 11, and apply the division lemma to get
35 = 11 x 3 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 46 and 495 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(35,11) = HCF(46,35) = HCF(495,46) .
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 782, 276, 495?
Answer: HCF of 782, 276, 495 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 782, 276, 495 using Euclid's Algorithm?
Answer: For arbitrary numbers 782, 276, 495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.