Highest Common Factor of 783, 3570 using Euclid's algorithm
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 783, 3570 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 783, 3570 is 3 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 783, 3570 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 783, 3570 is 3.
HCF(783, 3570) = 3
HCF of 783, 3570 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 783, 3570 is 3.
Highest Common Factor of 783,3570 is 3
Step 1: Since 3570 > 783, we apply the division lemma to 3570 and 783, to get
3570 = 783 x 4 + 438
Step 2: Since the reminder 783 ≠ 0, we apply division lemma to 438 and 783, to get
783 = 438 x 1 + 345
Step 3: We consider the new divisor 438 and the new remainder 345, and apply the division lemma to get
438 = 345 x 1 + 93
We consider the new divisor 345 and the new remainder 93,and apply the division lemma to get
345 = 93 x 3 + 66
We consider the new divisor 93 and the new remainder 66,and apply the division lemma to get
93 = 66 x 1 + 27
We consider the new divisor 66 and the new remainder 27,and apply the division lemma to get
66 = 27 x 2 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 783 and 3570 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(66,27) = HCF(93,66) = HCF(345,93) = HCF(438,345) = HCF(783,438) = HCF(3570,783) .
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Frequently Asked Questions on HCF of 783, 3570 using Euclid's Algorithm
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 783, 3570?
Answer: HCF of 783, 3570 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 783, 3570 using Euclid's Algorithm?
Answer: For arbitrary numbers 783, 3570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.