Highest Common Factor of 851, 2255, 3808 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 851, 2255, 3808 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 851, 2255, 3808 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 851, 2255, 3808 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 851, 2255, 3808 is 1.
HCF(851, 2255, 3808) = 1
HCF of 851, 2255, 3808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 851, 2255, 3808 is 1.
Highest Common Factor of 851,2255,3808 is 1
Step 1: Since 2255 > 851, we apply the division lemma to 2255 and 851, to get
2255 = 851 x 2 + 553
Step 2: Since the reminder 851 ≠ 0, we apply division lemma to 553 and 851, to get
851 = 553 x 1 + 298
Step 3: We consider the new divisor 553 and the new remainder 298, and apply the division lemma to get
553 = 298 x 1 + 255
We consider the new divisor 298 and the new remainder 255,and apply the division lemma to get
298 = 255 x 1 + 43
We consider the new divisor 255 and the new remainder 43,and apply the division lemma to get
255 = 43 x 5 + 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 851 and 2255 is 1
Notice that 1 = HCF(3,1) = HCF(40,3) = HCF(43,40) = HCF(255,43) = HCF(298,255) = HCF(553,298) = HCF(851,553) = HCF(2255,851) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3808 > 1, we apply the division lemma to 3808 and 1, to get
3808 = 1 x 3808 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3808 is 1
Notice that 1 = HCF(3808,1) .
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Frequently Asked Questions on HCF of 851, 2255, 3808 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 851, 2255, 3808?
Answer: HCF of 851, 2255, 3808 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 851, 2255, 3808 using Euclid's Algorithm?
Answer: For arbitrary numbers 851, 2255, 3808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.