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 8262, 7900 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8262, 7900 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 8262, 7900 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 8262, 7900 is 2.
HCF(8262, 7900) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8262, 7900 is 2.
Step 1: Since 8262 > 7900, we apply the division lemma to 8262 and 7900, to get
8262 = 7900 x 1 + 362
Step 2: Since the reminder 7900 ≠ 0, we apply division lemma to 362 and 7900, to get
7900 = 362 x 21 + 298
Step 3: We consider the new divisor 362 and the new remainder 298, and apply the division lemma to get
362 = 298 x 1 + 64
We consider the new divisor 298 and the new remainder 64,and apply the division lemma to get
298 = 64 x 4 + 42
We consider the new divisor 64 and the new remainder 42,and apply the division lemma to get
64 = 42 x 1 + 22
We consider the new divisor 42 and the new remainder 22,and apply the division lemma to get
42 = 22 x 1 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8262 and 7900 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(42,22) = HCF(64,42) = HCF(298,64) = HCF(362,298) = HCF(7900,362) = HCF(8262,7900) .
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 8262, 7900?
Answer: HCF of 8262, 7900 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8262, 7900 using Euclid's Algorithm?
Answer: For arbitrary numbers 8262, 7900 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.