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 3088, 7787 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3088, 7787 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 3088, 7787 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 3088, 7787 is 1.
HCF(3088, 7787) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3088, 7787 is 1.
Step 1: Since 7787 > 3088, we apply the division lemma to 7787 and 3088, to get
7787 = 3088 x 2 + 1611
Step 2: Since the reminder 3088 ≠ 0, we apply division lemma to 1611 and 3088, to get
3088 = 1611 x 1 + 1477
Step 3: We consider the new divisor 1611 and the new remainder 1477, and apply the division lemma to get
1611 = 1477 x 1 + 134
We consider the new divisor 1477 and the new remainder 134,and apply the division lemma to get
1477 = 134 x 11 + 3
We consider the new divisor 134 and the new remainder 3,and apply the division lemma to get
134 = 3 x 44 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3088 and 7787 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(134,3) = HCF(1477,134) = HCF(1611,1477) = HCF(3088,1611) = HCF(7787,3088) .
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 3088, 7787?
Answer: HCF of 3088, 7787 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3088, 7787 using Euclid's Algorithm?
Answer: For arbitrary numbers 3088, 7787 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.