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 7773, 6616 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7773, 6616 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 7773, 6616 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 7773, 6616 is 1.
HCF(7773, 6616) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7773, 6616 is 1.
Step 1: Since 7773 > 6616, we apply the division lemma to 7773 and 6616, to get
7773 = 6616 x 1 + 1157
Step 2: Since the reminder 6616 ≠ 0, we apply division lemma to 1157 and 6616, to get
6616 = 1157 x 5 + 831
Step 3: We consider the new divisor 1157 and the new remainder 831, and apply the division lemma to get
1157 = 831 x 1 + 326
We consider the new divisor 831 and the new remainder 326,and apply the division lemma to get
831 = 326 x 2 + 179
We consider the new divisor 326 and the new remainder 179,and apply the division lemma to get
326 = 179 x 1 + 147
We consider the new divisor 179 and the new remainder 147,and apply the division lemma to get
179 = 147 x 1 + 32
We consider the new divisor 147 and the new remainder 32,and apply the division lemma to get
147 = 32 x 4 + 19
We consider the new divisor 32 and the new remainder 19,and apply the division lemma to get
32 = 19 x 1 + 13
We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get
19 = 13 x 1 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7773 and 6616 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(32,19) = HCF(147,32) = HCF(179,147) = HCF(326,179) = HCF(831,326) = HCF(1157,831) = HCF(6616,1157) = HCF(7773,6616) .
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 7773, 6616?
Answer: HCF of 7773, 6616 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7773, 6616 using Euclid's Algorithm?
Answer: For arbitrary numbers 7773, 6616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.