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 3508, 7759 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3508, 7759 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 3508, 7759 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 3508, 7759 is 1.
HCF(3508, 7759) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3508, 7759 is 1.
Step 1: Since 7759 > 3508, we apply the division lemma to 7759 and 3508, to get
7759 = 3508 x 2 + 743
Step 2: Since the reminder 3508 ≠ 0, we apply division lemma to 743 and 3508, to get
3508 = 743 x 4 + 536
Step 3: We consider the new divisor 743 and the new remainder 536, and apply the division lemma to get
743 = 536 x 1 + 207
We consider the new divisor 536 and the new remainder 207,and apply the division lemma to get
536 = 207 x 2 + 122
We consider the new divisor 207 and the new remainder 122,and apply the division lemma to get
207 = 122 x 1 + 85
We consider the new divisor 122 and the new remainder 85,and apply the division lemma to get
122 = 85 x 1 + 37
We consider the new divisor 85 and the new remainder 37,and apply the division lemma to get
85 = 37 x 2 + 11
We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get
37 = 11 x 3 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3508 and 7759 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(85,37) = HCF(122,85) = HCF(207,122) = HCF(536,207) = HCF(743,536) = HCF(3508,743) = HCF(7759,3508) .
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 3508, 7759?
Answer: HCF of 3508, 7759 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3508, 7759 using Euclid's Algorithm?
Answer: For arbitrary numbers 3508, 7759 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.