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 2707, 7526 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2707, 7526 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 2707, 7526 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 2707, 7526 is 1.
HCF(2707, 7526) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2707, 7526 is 1.
Step 1: Since 7526 > 2707, we apply the division lemma to 7526 and 2707, to get
7526 = 2707 x 2 + 2112
Step 2: Since the reminder 2707 ≠ 0, we apply division lemma to 2112 and 2707, to get
2707 = 2112 x 1 + 595
Step 3: We consider the new divisor 2112 and the new remainder 595, and apply the division lemma to get
2112 = 595 x 3 + 327
We consider the new divisor 595 and the new remainder 327,and apply the division lemma to get
595 = 327 x 1 + 268
We consider the new divisor 327 and the new remainder 268,and apply the division lemma to get
327 = 268 x 1 + 59
We consider the new divisor 268 and the new remainder 59,and apply the division lemma to get
268 = 59 x 4 + 32
We consider the new divisor 59 and the new remainder 32,and apply the division lemma to get
59 = 32 x 1 + 27
We consider the new divisor 32 and the new remainder 27,and apply the division lemma to get
32 = 27 x 1 + 5
We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get
27 = 5 x 5 + 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 2707 and 7526 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(32,27) = HCF(59,32) = HCF(268,59) = HCF(327,268) = HCF(595,327) = HCF(2112,595) = HCF(2707,2112) = HCF(7526,2707) .
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 2707, 7526?
Answer: HCF of 2707, 7526 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2707, 7526 using Euclid's Algorithm?
Answer: For arbitrary numbers 2707, 7526 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.