Highest Common Factor of 813, 951, 862, 107 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 813, 951, 862, 107 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 813, 951, 862, 107 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 813, 951, 862, 107 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 813, 951, 862, 107 is 1.
HCF(813, 951, 862, 107) = 1
HCF of 813, 951, 862, 107 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 813, 951, 862, 107 is 1.
Highest Common Factor of 813,951,862,107 is 1
Step 1: Since 951 > 813, we apply the division lemma to 951 and 813, to get
951 = 813 x 1 + 138
Step 2: Since the reminder 813 ≠ 0, we apply division lemma to 138 and 813, to get
813 = 138 x 5 + 123
Step 3: We consider the new divisor 138 and the new remainder 123, and apply the division lemma to get
138 = 123 x 1 + 15
We consider the new divisor 123 and the new remainder 15,and apply the division lemma to get
123 = 15 x 8 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 813 and 951 is 3
Notice that 3 = HCF(15,3) = HCF(123,15) = HCF(138,123) = HCF(813,138) = HCF(951,813) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 862 > 3, we apply the division lemma to 862 and 3, to get
862 = 3 x 287 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 862 is 1
Notice that 1 = HCF(3,1) = HCF(862,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 107 > 1, we apply the division lemma to 107 and 1, to get
107 = 1 x 107 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 107 is 1
Notice that 1 = HCF(107,1) .
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Frequently Asked Questions on HCF of 813, 951, 862, 107 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 813, 951, 862, 107?
Answer: HCF of 813, 951, 862, 107 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 813, 951, 862, 107 using Euclid's Algorithm?
Answer: For arbitrary numbers 813, 951, 862, 107 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.