Highest Common Factor of 679, 825, 874 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 679, 825, 874 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 679, 825, 874 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 679, 825, 874 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 679, 825, 874 is 1.
HCF(679, 825, 874) = 1
HCF of 679, 825, 874 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 679, 825, 874 is 1.
Highest Common Factor of 679,825,874 is 1
Step 1: Since 825 > 679, we apply the division lemma to 825 and 679, to get
825 = 679 x 1 + 146
Step 2: Since the reminder 679 ≠ 0, we apply division lemma to 146 and 679, to get
679 = 146 x 4 + 95
Step 3: We consider the new divisor 146 and the new remainder 95, and apply the division lemma to get
146 = 95 x 1 + 51
We consider the new divisor 95 and the new remainder 51,and apply the division lemma to get
95 = 51 x 1 + 44
We consider the new divisor 51 and the new remainder 44,and apply the division lemma to get
51 = 44 x 1 + 7
We consider the new divisor 44 and the new remainder 7,and apply the division lemma to get
44 = 7 x 6 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 679 and 825 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(44,7) = HCF(51,44) = HCF(95,51) = HCF(146,95) = HCF(679,146) = HCF(825,679) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 874 > 1, we apply the division lemma to 874 and 1, to get
874 = 1 x 874 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 874 is 1
Notice that 1 = HCF(874,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 679, 825, 874 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 679, 825, 874?
Answer: HCF of 679, 825, 874 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 679, 825, 874 using Euclid's Algorithm?
Answer: For arbitrary numbers 679, 825, 874 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.