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 2546, 6929 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2546, 6929 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 2546, 6929 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 2546, 6929 is 1.
HCF(2546, 6929) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2546, 6929 is 1.
Step 1: Since 6929 > 2546, we apply the division lemma to 6929 and 2546, to get
6929 = 2546 x 2 + 1837
Step 2: Since the reminder 2546 ≠ 0, we apply division lemma to 1837 and 2546, to get
2546 = 1837 x 1 + 709
Step 3: We consider the new divisor 1837 and the new remainder 709, and apply the division lemma to get
1837 = 709 x 2 + 419
We consider the new divisor 709 and the new remainder 419,and apply the division lemma to get
709 = 419 x 1 + 290
We consider the new divisor 419 and the new remainder 290,and apply the division lemma to get
419 = 290 x 1 + 129
We consider the new divisor 290 and the new remainder 129,and apply the division lemma to get
290 = 129 x 2 + 32
We consider the new divisor 129 and the new remainder 32,and apply the division lemma to get
129 = 32 x 4 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2546 and 6929 is 1
Notice that 1 = HCF(32,1) = HCF(129,32) = HCF(290,129) = HCF(419,290) = HCF(709,419) = HCF(1837,709) = HCF(2546,1837) = HCF(6929,2546) .
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 2546, 6929?
Answer: HCF of 2546, 6929 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2546, 6929 using Euclid's Algorithm?
Answer: For arbitrary numbers 2546, 6929 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.