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 7768, 9290 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7768, 9290 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 7768, 9290 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 7768, 9290 is 2.
HCF(7768, 9290) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7768, 9290 is 2.
Step 1: Since 9290 > 7768, we apply the division lemma to 9290 and 7768, to get
9290 = 7768 x 1 + 1522
Step 2: Since the reminder 7768 ≠ 0, we apply division lemma to 1522 and 7768, to get
7768 = 1522 x 5 + 158
Step 3: We consider the new divisor 1522 and the new remainder 158, and apply the division lemma to get
1522 = 158 x 9 + 100
We consider the new divisor 158 and the new remainder 100,and apply the division lemma to get
158 = 100 x 1 + 58
We consider the new divisor 100 and the new remainder 58,and apply the division lemma to get
100 = 58 x 1 + 42
We consider the new divisor 58 and the new remainder 42,and apply the division lemma to get
58 = 42 x 1 + 16
We consider the new divisor 42 and the new remainder 16,and apply the division lemma to get
42 = 16 x 2 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7768 and 9290 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(42,16) = HCF(58,42) = HCF(100,58) = HCF(158,100) = HCF(1522,158) = HCF(7768,1522) = HCF(9290,7768) .
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 7768, 9290?
Answer: HCF of 7768, 9290 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7768, 9290 using Euclid's Algorithm?
Answer: For arbitrary numbers 7768, 9290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.