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 7747, 6416 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7747, 6416 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 7747, 6416 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 7747, 6416 is 1.
HCF(7747, 6416) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7747, 6416 is 1.
Step 1: Since 7747 > 6416, we apply the division lemma to 7747 and 6416, to get
7747 = 6416 x 1 + 1331
Step 2: Since the reminder 6416 ≠ 0, we apply division lemma to 1331 and 6416, to get
6416 = 1331 x 4 + 1092
Step 3: We consider the new divisor 1331 and the new remainder 1092, and apply the division lemma to get
1331 = 1092 x 1 + 239
We consider the new divisor 1092 and the new remainder 239,and apply the division lemma to get
1092 = 239 x 4 + 136
We consider the new divisor 239 and the new remainder 136,and apply the division lemma to get
239 = 136 x 1 + 103
We consider the new divisor 136 and the new remainder 103,and apply the division lemma to get
136 = 103 x 1 + 33
We consider the new divisor 103 and the new remainder 33,and apply the division lemma to get
103 = 33 x 3 + 4
We consider the new divisor 33 and the new remainder 4,and apply the division lemma to get
33 = 4 x 8 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7747 and 6416 is 1
Notice that 1 = HCF(4,1) = HCF(33,4) = HCF(103,33) = HCF(136,103) = HCF(239,136) = HCF(1092,239) = HCF(1331,1092) = HCF(6416,1331) = HCF(7747,6416) .
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 7747, 6416?
Answer: HCF of 7747, 6416 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7747, 6416 using Euclid's Algorithm?
Answer: For arbitrary numbers 7747, 6416 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.