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 6782, 4670 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6782, 4670 is 2 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 6782, 4670 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 6782, 4670 is 2.
HCF(6782, 4670) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6782, 4670 is 2.
Step 1: Since 6782 > 4670, we apply the division lemma to 6782 and 4670, to get
6782 = 4670 x 1 + 2112
Step 2: Since the reminder 4670 ≠ 0, we apply division lemma to 2112 and 4670, to get
4670 = 2112 x 2 + 446
Step 3: We consider the new divisor 2112 and the new remainder 446, and apply the division lemma to get
2112 = 446 x 4 + 328
We consider the new divisor 446 and the new remainder 328,and apply the division lemma to get
446 = 328 x 1 + 118
We consider the new divisor 328 and the new remainder 118,and apply the division lemma to get
328 = 118 x 2 + 92
We consider the new divisor 118 and the new remainder 92,and apply the division lemma to get
118 = 92 x 1 + 26
We consider the new divisor 92 and the new remainder 26,and apply the division lemma to get
92 = 26 x 3 + 14
We consider the new divisor 26 and the new remainder 14,and apply the division lemma to get
26 = 14 x 1 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6782 and 4670 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(26,14) = HCF(92,26) = HCF(118,92) = HCF(328,118) = HCF(446,328) = HCF(2112,446) = HCF(4670,2112) = HCF(6782,4670) .
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 6782, 4670?
Answer: HCF of 6782, 4670 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6782, 4670 using Euclid's Algorithm?
Answer: For arbitrary numbers 6782, 4670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.