Highest Common Factor of 255, 467, 981, 781 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 255, 467, 981, 781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 255, 467, 981, 781 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 255, 467, 981, 781 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 255, 467, 981, 781 is 1.
HCF(255, 467, 981, 781) = 1
HCF of 255, 467, 981, 781 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 255, 467, 981, 781 is 1.
Highest Common Factor of 255,467,981,781 is 1
Step 1: Since 467 > 255, we apply the division lemma to 467 and 255, to get
467 = 255 x 1 + 212
Step 2: Since the reminder 255 ≠ 0, we apply division lemma to 212 and 255, to get
255 = 212 x 1 + 43
Step 3: We consider the new divisor 212 and the new remainder 43, and apply the division lemma to get
212 = 43 x 4 + 40
We consider the new divisor 43 and the new remainder 40,and apply the division lemma to get
43 = 40 x 1 + 3
We consider the new divisor 40 and the new remainder 3,and apply the division lemma to get
40 = 3 x 13 + 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 255 and 467 is 1
Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(43,40) = HCF(212,43) = HCF(255,212) = HCF(467,255) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 981 > 1, we apply the division lemma to 981 and 1, to get
981 = 1 x 981 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 981 is 1
Notice that 1 = HCF(981,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 781 > 1, we apply the division lemma to 781 and 1, to get
781 = 1 x 781 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 781 is 1
Notice that 1 = HCF(781,1) .
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Frequently Asked Questions on HCF of 255, 467, 981, 781 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 255, 467, 981, 781?
Answer: HCF of 255, 467, 981, 781 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 255, 467, 981, 781 using Euclid's Algorithm?
Answer: For arbitrary numbers 255, 467, 981, 781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.