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 7629, 3495 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7629, 3495 is 3 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 7629, 3495 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 7629, 3495 is 3.
HCF(7629, 3495) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7629, 3495 is 3.
Step 1: Since 7629 > 3495, we apply the division lemma to 7629 and 3495, to get
7629 = 3495 x 2 + 639
Step 2: Since the reminder 3495 ≠ 0, we apply division lemma to 639 and 3495, to get
3495 = 639 x 5 + 300
Step 3: We consider the new divisor 639 and the new remainder 300, and apply the division lemma to get
639 = 300 x 2 + 39
We consider the new divisor 300 and the new remainder 39,and apply the division lemma to get
300 = 39 x 7 + 27
We consider the new divisor 39 and the new remainder 27,and apply the division lemma to get
39 = 27 x 1 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7629 and 3495 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(39,27) = HCF(300,39) = HCF(639,300) = HCF(3495,639) = HCF(7629,3495) .
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 7629, 3495?
Answer: HCF of 7629, 3495 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7629, 3495 using Euclid's Algorithm?
Answer: For arbitrary numbers 7629, 3495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.