Highest Common Factor of 4956, 6782 using Euclid's algorithm
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 4956, 6782 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4956, 6782 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 4956, 6782 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 4956, 6782 is 2.
HCF(4956, 6782) = 2
HCF of 4956, 6782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4956, 6782 is 2.
Highest Common Factor of 4956,6782 is 2
Step 1: Since 6782 > 4956, we apply the division lemma to 6782 and 4956, to get
6782 = 4956 x 1 + 1826
Step 2: Since the reminder 4956 ≠ 0, we apply division lemma to 1826 and 4956, to get
4956 = 1826 x 2 + 1304
Step 3: We consider the new divisor 1826 and the new remainder 1304, and apply the division lemma to get
1826 = 1304 x 1 + 522
We consider the new divisor 1304 and the new remainder 522,and apply the division lemma to get
1304 = 522 x 2 + 260
We consider the new divisor 522 and the new remainder 260,and apply the division lemma to get
522 = 260 x 2 + 2
We consider the new divisor 260 and the new remainder 2,and apply the division lemma to get
260 = 2 x 130 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4956 and 6782 is 2
Notice that 2 = HCF(260,2) = HCF(522,260) = HCF(1304,522) = HCF(1826,1304) = HCF(4956,1826) = HCF(6782,4956) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4956, 6782 using Euclid's Algorithm
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 4956, 6782?
Answer: HCF of 4956, 6782 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4956, 6782 using Euclid's Algorithm?
Answer: For arbitrary numbers 4956, 6782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
