Highest Common Factor of 626, 874, 825 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 626, 874, 825 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 626, 874, 825 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 626, 874, 825 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 626, 874, 825 is 1.
HCF(626, 874, 825) = 1
HCF of 626, 874, 825 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 626, 874, 825 is 1.
Highest Common Factor of 626,874,825 is 1
Step 1: Since 874 > 626, we apply the division lemma to 874 and 626, to get
874 = 626 x 1 + 248
Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 248 and 626, to get
626 = 248 x 2 + 130
Step 3: We consider the new divisor 248 and the new remainder 130, and apply the division lemma to get
248 = 130 x 1 + 118
We consider the new divisor 130 and the new remainder 118,and apply the division lemma to get
130 = 118 x 1 + 12
We consider the new divisor 118 and the new remainder 12,and apply the division lemma to get
118 = 12 x 9 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 626 and 874 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(118,12) = HCF(130,118) = HCF(248,130) = HCF(626,248) = HCF(874,626) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 825 > 2, we apply the division lemma to 825 and 2, to get
825 = 2 x 412 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 825 is 1
Notice that 1 = HCF(2,1) = HCF(825,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 626, 874, 825 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 626, 874, 825?
Answer: HCF of 626, 874, 825 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 626, 874, 825 using Euclid's Algorithm?
Answer: For arbitrary numbers 626, 874, 825 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.