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 7888, 2769 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7888, 2769 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 7888, 2769 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 7888, 2769 is 1.
HCF(7888, 2769) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7888, 2769 is 1.
Step 1: Since 7888 > 2769, we apply the division lemma to 7888 and 2769, to get
7888 = 2769 x 2 + 2350
Step 2: Since the reminder 2769 ≠ 0, we apply division lemma to 2350 and 2769, to get
2769 = 2350 x 1 + 419
Step 3: We consider the new divisor 2350 and the new remainder 419, and apply the division lemma to get
2350 = 419 x 5 + 255
We consider the new divisor 419 and the new remainder 255,and apply the division lemma to get
419 = 255 x 1 + 164
We consider the new divisor 255 and the new remainder 164,and apply the division lemma to get
255 = 164 x 1 + 91
We consider the new divisor 164 and the new remainder 91,and apply the division lemma to get
164 = 91 x 1 + 73
We consider the new divisor 91 and the new remainder 73,and apply the division lemma to get
91 = 73 x 1 + 18
We consider the new divisor 73 and the new remainder 18,and apply the division lemma to get
73 = 18 x 4 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7888 and 2769 is 1
Notice that 1 = HCF(18,1) = HCF(73,18) = HCF(91,73) = HCF(164,91) = HCF(255,164) = HCF(419,255) = HCF(2350,419) = HCF(2769,2350) = HCF(7888,2769) .
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 7888, 2769?
Answer: HCF of 7888, 2769 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7888, 2769 using Euclid's Algorithm?
Answer: For arbitrary numbers 7888, 2769 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.