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 142, 791, 107 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 142, 791, 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 142, 791, 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 142, 791, 107 is 1.
HCF(142, 791, 107) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 142, 791, 107 is 1.
Step 1: Since 791 > 142, we apply the division lemma to 791 and 142, to get
791 = 142 x 5 + 81
Step 2: Since the reminder 142 ≠ 0, we apply division lemma to 81 and 142, to get
142 = 81 x 1 + 61
Step 3: We consider the new divisor 81 and the new remainder 61, and apply the division lemma to get
81 = 61 x 1 + 20
We consider the new divisor 61 and the new remainder 20,and apply the division lemma to get
61 = 20 x 3 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 142 and 791 is 1
Notice that 1 = HCF(20,1) = HCF(61,20) = HCF(81,61) = HCF(142,81) = HCF(791,142) .
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) .
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 142, 791, 107?
Answer: HCF of 142, 791, 107 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 142, 791, 107 using Euclid's Algorithm?
Answer: For arbitrary numbers 142, 791, 107 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.