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 1610, 7577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1610, 7577 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 1610, 7577 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 1610, 7577 is 1.
HCF(1610, 7577) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1610, 7577 is 1.
Step 1: Since 7577 > 1610, we apply the division lemma to 7577 and 1610, to get
7577 = 1610 x 4 + 1137
Step 2: Since the reminder 1610 ≠ 0, we apply division lemma to 1137 and 1610, to get
1610 = 1137 x 1 + 473
Step 3: We consider the new divisor 1137 and the new remainder 473, and apply the division lemma to get
1137 = 473 x 2 + 191
We consider the new divisor 473 and the new remainder 191,and apply the division lemma to get
473 = 191 x 2 + 91
We consider the new divisor 191 and the new remainder 91,and apply the division lemma to get
191 = 91 x 2 + 9
We consider the new divisor 91 and the new remainder 9,and apply the division lemma to get
91 = 9 x 10 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1610 and 7577 is 1
Notice that 1 = HCF(9,1) = HCF(91,9) = HCF(191,91) = HCF(473,191) = HCF(1137,473) = HCF(1610,1137) = HCF(7577,1610) .
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 1610, 7577?
Answer: HCF of 1610, 7577 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1610, 7577 using Euclid's Algorithm?
Answer: For arbitrary numbers 1610, 7577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.