Highest Common Factor of 3252, 7790 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 3252, 7790 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3252, 7790 is 2 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 3252, 7790 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 3252, 7790 is 2.
HCF(3252, 7790) = 2
HCF of 3252, 7790 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3252, 7790 is 2.
Highest Common Factor of 3252,7790 is 2
Step 1: Since 7790 > 3252, we apply the division lemma to 7790 and 3252, to get
7790 = 3252 x 2 + 1286
Step 2: Since the reminder 3252 ≠ 0, we apply division lemma to 1286 and 3252, to get
3252 = 1286 x 2 + 680
Step 3: We consider the new divisor 1286 and the new remainder 680, and apply the division lemma to get
1286 = 680 x 1 + 606
We consider the new divisor 680 and the new remainder 606,and apply the division lemma to get
680 = 606 x 1 + 74
We consider the new divisor 606 and the new remainder 74,and apply the division lemma to get
606 = 74 x 8 + 14
We consider the new divisor 74 and the new remainder 14,and apply the division lemma to get
74 = 14 x 5 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3252 and 7790 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(74,14) = HCF(606,74) = HCF(680,606) = HCF(1286,680) = HCF(3252,1286) = HCF(7790,3252) .
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Frequently Asked Questions on HCF of 3252, 7790 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 3252, 7790?
Answer: HCF of 3252, 7790 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3252, 7790 using Euclid's Algorithm?
Answer: For arbitrary numbers 3252, 7790 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.