Highest Common Factor of 6292, 6996 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 6292, 6996 i.e. 44 the largest integer that leaves a remainder zero for all numbers.
HCF of 6292, 6996 is 44 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 6292, 6996 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 6292, 6996 is 44.
HCF(6292, 6996) = 44
HCF of 6292, 6996 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6292, 6996 is 44.
Highest Common Factor of 6292,6996 is 44
Step 1: Since 6996 > 6292, we apply the division lemma to 6996 and 6292, to get
6996 = 6292 x 1 + 704
Step 2: Since the reminder 6292 ≠ 0, we apply division lemma to 704 and 6292, to get
6292 = 704 x 8 + 660
Step 3: We consider the new divisor 704 and the new remainder 660, and apply the division lemma to get
704 = 660 x 1 + 44
We consider the new divisor 660 and the new remainder 44, and apply the division lemma to get
660 = 44 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 44, the HCF of 6292 and 6996 is 44
Notice that 44 = HCF(660,44) = HCF(704,660) = HCF(6292,704) = HCF(6996,6292) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6292, 6996 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 6292, 6996?
Answer: HCF of 6292, 6996 is 44 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6292, 6996 using Euclid's Algorithm?
Answer: For arbitrary numbers 6292, 6996 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.