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 2276, 1474 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2276, 1474 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 2276, 1474 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 2276, 1474 is 2.
HCF(2276, 1474) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2276, 1474 is 2.
Step 1: Since 2276 > 1474, we apply the division lemma to 2276 and 1474, to get
2276 = 1474 x 1 + 802
Step 2: Since the reminder 1474 ≠ 0, we apply division lemma to 802 and 1474, to get
1474 = 802 x 1 + 672
Step 3: We consider the new divisor 802 and the new remainder 672, and apply the division lemma to get
802 = 672 x 1 + 130
We consider the new divisor 672 and the new remainder 130,and apply the division lemma to get
672 = 130 x 5 + 22
We consider the new divisor 130 and the new remainder 22,and apply the division lemma to get
130 = 22 x 5 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2276 and 1474 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(130,22) = HCF(672,130) = HCF(802,672) = HCF(1474,802) = HCF(2276,1474) .
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 2276, 1474?
Answer: HCF of 2276, 1474 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2276, 1474 using Euclid's Algorithm?
Answer: For arbitrary numbers 2276, 1474 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.