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, 945 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 626, 945 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, 945 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, 945 is 1.
HCF(626, 945) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 626, 945 is 1.
Step 1: Since 945 > 626, we apply the division lemma to 945 and 626, to get
945 = 626 x 1 + 319
Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 319 and 626, to get
626 = 319 x 1 + 307
Step 3: We consider the new divisor 319 and the new remainder 307, and apply the division lemma to get
319 = 307 x 1 + 12
We consider the new divisor 307 and the new remainder 12,and apply the division lemma to get
307 = 12 x 25 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 626 and 945 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(307,12) = HCF(319,307) = HCF(626,319) = HCF(945,626) .
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 626, 945?
Answer: HCF of 626, 945 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 626, 945 using Euclid's Algorithm?
Answer: For arbitrary numbers 626, 945 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.