Highest Common Factor of 849, 983, 875 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 849, 983, 875 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 849, 983, 875 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 849, 983, 875 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 849, 983, 875 is 1.
HCF(849, 983, 875) = 1
HCF of 849, 983, 875 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 849, 983, 875 is 1.
Highest Common Factor of 849,983,875 is 1
Step 1: Since 983 > 849, we apply the division lemma to 983 and 849, to get
983 = 849 x 1 + 134
Step 2: Since the reminder 849 ≠ 0, we apply division lemma to 134 and 849, to get
849 = 134 x 6 + 45
Step 3: We consider the new divisor 134 and the new remainder 45, and apply the division lemma to get
134 = 45 x 2 + 44
We consider the new divisor 45 and the new remainder 44,and apply the division lemma to get
45 = 44 x 1 + 1
We consider the new divisor 44 and the new remainder 1,and apply the division lemma to get
44 = 1 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 849 and 983 is 1
Notice that 1 = HCF(44,1) = HCF(45,44) = HCF(134,45) = HCF(849,134) = HCF(983,849) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 875 > 1, we apply the division lemma to 875 and 1, to get
875 = 1 x 875 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 875 is 1
Notice that 1 = HCF(875,1) .
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Frequently Asked Questions on HCF of 849, 983, 875 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 849, 983, 875?
Answer: HCF of 849, 983, 875 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 849, 983, 875 using Euclid's Algorithm?
Answer: For arbitrary numbers 849, 983, 875 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.